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rfc4772.Security Implications of Using the Data Encryption Standard (DES)

rfc4772.Security Implications of Using the Data Encryption Standard (DES)
rfc4772.Security Implications of Using the Data Encryption Standard (DES)

Network Working Group S. Kelly Request for Comments: 4772 Aruba Networks Category: Informational December 2006 Security Implications of Using the Data Encryption Standard (DES) Status of This Memo

This memo provides information for the Internet community. It does

not specify an Internet standard of any kind. Distribution of this

memo is unlimited.

Copyright Notice

Copyright (C) The IETF Trust (2006).

Abstract

The Data Encryption Standard (DES) is susceptible to brute-force

attacks, which are well within the reach of a modestly financed

adversary. As a result, DES has been deprecated, and replaced by the Advanced Encryption Standard (AES). Nonetheless, many applications

continue to rely on DES for security, and designers and implementers continue to support it in new applications. While this is not always inappropriate, it frequently is. This note discusses DES security

implications in detail, so that designers and implementers have all

the information they need to make judicious decisions regarding its

use.

Kelly Informational [Page 1]

Table of Contents

1. Introduction (3)

1.1. Executive Summary of Findings and Recommendations (4)

1.1.1. Recommendation Summary (4)

2. Why Use Encryption? (5)

3. Real-World Applications and Threats (6)

4. Attacking DES (8)

4.1. Brute-Force Attacks (9)

4.1.1. Parallel and Distributed Attacks (10)

4.2. Cryptanalytic Attacks (10)

4.3. Practical Considerations (12)

5. The EFF DES Cracker (12)

6. Other DES-Cracking Projects (13)

7. Building a DES Cracker Today (14)

7.1. FPGAs (15)

7.2. ASICs (16)

7.3. Distributed PCs (16)

7.3.1. Willing Participants (17)

7.3.2. Spyware and Viruses and Botnets (oh my!) (18)

8. Why is DES Still Used? (19)

9. Security Considerations (20)

10. Acknowledgements (21)

Appendix A. What About 3DES? (22)

A.1. Brute-Force Attacks on 3DES (22)

A.2. Cryptanalytic Attacks Against 3DES (23)

A.2.1. Meet-In-The-Middle (MITM) Attacks (23)

A.2.2. Related Key Attacks (24)

A.3. 3DES Block Size (25)

Informative References (25)

Kelly Informational [Page 2]

1. Introduction

The Data Encryption Standard [DES] is the first encryption algorithm approved by the U.S. government for public disclosure. Brute-force

attacks became a subject of speculation immediately following the

algorithm’s release into the public sphere, and a number of

researchers published discussions of attack feasibility and explicit brute-force attack methodologies, beginning with [DH77].

In the early to mid 1990s, numerous additional papers appeared,

including Wiener’s "Efficient DES Key Search" [WIEN94], and "Minimal Key Lengths for Symmetric Ciphers to Provide Adequate Commercial

Security" [BLAZ96]. While these and various other papers discussed

the theoretical aspects of DES-cracking machinery, none described a

specific implementation of such a machine. In 1998, the Electronic

Frontier Foundation (EFF) went much further, actually building a

device and freely publishing the implementation details for public

review [EFF98].

Despite the fact that the EFF clearly demonstrated that DES could be brute-forced in an average of about 4.5 days with an investment of

less than $250,000 in 1998, many continue to rely on this algorithm

even now, more than 8 years later. Today, the landscape is

significantly different: DES can be broken by a broad range of

attackers using technologies that were not available in 1998,

including cheap Field Programmable Gate Arrays (FPGAs) and botnets

[BOT05]. These and other attack methodologies are described in

detail below.

Given that the Advanced Encryption Standard [AES] has been approved

by the U.S. government (under certain usage scenarios) for top-secret applications [AES-NSA], and that triple DES (3DES) is not susceptible to these same attacks, one might wonder: why even bother with DES

anymore? Under more ideal circumstances, we might simply dispense

with it, but unfortunately, this would not be so simple today. DES

has been widely deployed since its release in the 1970s, and many

systems rely on it today. Wholesale replacement of such systems

would be very costly. A more realistic approach entails gradual

replacement of these systems, and this implies a term of backward

compatibility support of indefinite duration.

In addition to backward compatibility, in isolated instances there

may be other valid arguments for continued DES support. Still,

reliance upon this deprecated algorithm is a serious error from a

security design perspective in many cases. This note aims to clarify the security implications of this choice given the state of

technology today, so that developers can make an informed decision as to whether or not to implement this algorithm.

Kelly Informational [Page 3]

1.1. Executive Summary of Findings and Recommendations

For many years now, DES usage has been actively discouraged by the

security area of the IETF, but we nevertheless continue to see it in use. Given that there are widely published accounts of real attacks and that we have been vocally discouraging its use, a question

arises: why aren’t people listening? We can only speculate, but one possibility is that they simply do not understand the extent to which DES has been marginalized by advancing cryptographic science and

technology. Another possibility is that we have not yet been

appropriately explicit and aggressive about this. With these

particular possibilities in mind, this note sets out to dispel any

remaining illusions.

The depth of background knowledge required to truly understand and

fully appreciate the security risks of using DES today is somewhat

daunting, and an extensive survey of the literature suggests that

there are very few published materials encompassing more than a

fraction of the considerations all in one place, with [CURT05] being one notable exception. However, even that work does not gather all

of the pieces in such a way as to inform an implementer of the

current real-world risks, so here we try to fill in any remaining

gaps.

For convenience, the next section contains a brief summary of

recommendations. If you don’t know the IETF’s current position on

DES, and all you want is a summary, you may be content to simply read the recommendation summary section, and skip the rest of the

document. If you want a more detailed look at the history and

current state-of-the-art with respect to attacking DES, you will find that in subsequent sections.

1.1.1. Recommendation Summary

There are several ways to attack a cryptographic algorithm, from

simple brute force (trying each key until you find the right one) to more subtle cryptanalytic approaches, which take into account the

internal structure of the cipher. As noted in the introduction, a

dedicated system capable of brute-forcing DES keys in less than 5

days was created in 1998. Current "Moore’s Law" estimates suggest

that a similar machine could be built today for around $15,000 or

less, and for the cost of the original system (?$250,000) we could

probably build a machine capable of cracking DES keys in a few hours. Additionally, there have been a number of successful distributed

attacks on DES [CURT05], and with the recent arrival of botnets

[BOT05], these results are all the more onerous. Furthermore, there are a number of cryptanalytic attacks against DES, and while some of Kelly Informational [Page 4]

these remain purely theoretical in nature at present, at least one

was recently implemented using a FPGA that can deduce a DES key in

12-15 hours [FPL02]. Clearly, DES cannot be considered a "strong"

cryptographic algorithm by today’s standards.

To summarize current recommendations on using DES, the simple answer is "don’t use it - it’s not safe." While there may be use cases for which the security of DES would be sufficient, it typically requires a security expert to determine when this is true. Also, there are

much more secure algorithms available today (e.g., 3DES, AES) that

are much safer choices. The only general case in which DES should

still be supported is when it is strictly required for backward

compatibility, and when the cost of upgrading outweighs the risk of

exposure. However, even in these cases, recommendations should

probably be made to phase out such systems.

If you are simply interested in the current recommendations, there

you have it: don’t use DES. If you are interested in understanding

how we arrive at this conclusion, read on.

2. Why Use Encryption?

In order to assess the security implications of using DES, it is

useful and informative to review the basic rationale for using

encryption. In general, we encrypt information because we desire

confidentiality. That is, we want to limit access to information, to keep something private or secret. In some cases, we want to share

the information within a limited group, and in other cases, we may

want to be the sole owner of the information in question.

Sometimes, the information we want to protect has value only to the

individual (e.g., a diary), and a loss of confidentiality, while

potentially damaging in some limited ways, would typically not be

catastrophic. In other cases, the information might have significant financial implications (e.g., a company’s strategic marketing plan). And in yet others, lives could be at stake.

In order to gauge our confidentiality requirements in terms of

encryption strength, we must assess the value of the information we

are trying to protect, both to us and to a potential attacker. There are various metrics we can employ for this purpose:

o Cost of confidentiality loss: What could we lose if an adversary

were to discover our secret? This gives some measure of how much effort we should be willing to expend to protect the secret.

Kelly Informational [Page 5]

o Value to adversary: What does the attacker have to gain by

discovering our secret? This gives some measure of how much an

adversary might reasonably be willing to spend to learn the

secret.

o Window of opportunity: How long does the information have value to an adversary? This gives some measure of how acceptable a

weakness might be. For example, if the information is valuable to an attacker for months and it takes only days to break the

encryption, we probably need much stronger encryption. On the

other hand, if the window of opportunity is measured in seconds,

then an encryption algorithm that takes days to break may be

acceptable.

There are certainly other factors we would consider in conducting a

comprehensive security analysis, but these are enough to give a

general sense of important questions to answer when evaluating DES as

a candidate encryption algorithm.

3. Real-World Applications and Threats

Numerous commonly used applications rely on encryption for

confidentiality in today’s Internet. To evaluate the sufficiency of a given cryptographic algorithm in this context, we should begin by

asking some basic questions: what are the real-world risks to these

applications, i.e., how likely is it that an application might

actually be attacked, and by whom, and for what reasons?

While it is difficult to come up with one-size-fits-all answers based on general application descriptions, we can easily get some sense of the relative threat to many of these applications. It is important

to note that what follows is not an exhaustive enumeration of all

likely threats and attacks, but rather, a sampling that illustrates

that real threats are more prevalent than intuition might suggest.

Here are some examples of common applications and related threats:

o Site-to-site VPNs: Often, these are used to connect geographically separate corporate offices. Data traversing such links is often

business critical, and sometimes highly confidential. The FBI

estimates that every year, billions of U.S. dollars are lost to

foreign competitors who deliberately target economic intelligence in U.S. industry and technologies [FBI06]. Searching for

’corporate espionage’ in Google yields many interesting links,

some of which indicate that foreign competitors are not the only

threat to U.S. businesses. Obviously, this threat can be

generalized to include businesses of any nationality.

Kelly Informational [Page 6]

o Remote network access for business: See previous item.

o Webmail/email encryption: See Site-to-site VPNs.

o Online banking: Currently, the most common threat to online

banking is in the form of "phishing", which does not rely on

breaking session encryption, but instead relies on tricking users into providing their account information. In general, direct

attacks on session encryption for this application do not scale

well. However, if a particular bank were known to use a weak

encryption algorithm for session security, it might become

worthwhile to develop a broader attack against that bank. Given

that organized criminal elements have been found behind many

phishing attacks, it is not difficult to imagine such scenarios.

o Electronic funds transfers (EFTs): The ability to replay or

otherwise modify legitimate EFTs has obvious financial incentives (and implications). Also, an industrial spy might see a great

deal of intelligence value in the financial transactions of a

target company.

o Online purchases (E-commerce): The FBI has investigated a number

of organized attacks on e-commerce applications [FBI01]. If an

attacker has the ability to monitor e-commerce traffic directed to a large merchant that relies on weak encryption, the attacker

could harvest a great deal of consumer credit information. This

is the sort of data "phishers" currently harvest on a much smaller scale, so one can easily imagine the value of such a target.

o Internet-based VoIP applications (e.g., Skype): While many uses of this technology are innocuous (e.g., long distance calls to family members), VoIP technology is also used for business purposes (see discussion of FBI estimates regarding corporate espionage above). o Cellular telephony: Cell phones are very common, and are

frequently used for confidential conversations in business,

medicine, law enforcement, and other applications.

o Wireless LAN: Wireless technology is used by many businesses,

including the New York Stock Exchange [NYSE1]. The financial

incentives for an attacker are significant in some cases.

o Personal communications (e.g., secure instant messaging): Such

communication may be used for corporate communications (see

industrial espionage discussion above), and may also be used for

financial applications such as stock/securities trading. This has both corporate/industrial espionage and financial implications. Kelly Informational [Page 7]

o Laptop hard-drive encryption: See discussion on corporate/

industrial espionage above. Also, consider that stolen and lost

laptops have been cited for some of the more significant losses of control over sensitive personal information in recent years,

notably the Veterans Affairs data loss [VA1].

There are real-world threats to everyday encryption applications,

some of which could be very lucrative to an attacker (and by

extension, very costly to the victim). It is important to note that if some of these attacks are infrequent today, it is precisely

because the threats are recognized, and appropriately strong

cryptographic algorithms are used. If "weak" cryptographic

algorithms were to be used instead, the implications are indeed

thought-provoking.

In keeping with the objectives of this document, it is important to

note that the U.S. government has never approved the use of DES for

anything but unclassified applications. While DES is still approved for unclassified uses until May 19, 2007, the U.S. government clearly sees the need to move to higher ground. For details on the National Institute of Standards and Technology (NIST) DES Transition plan, see [NIST-TP]. Despite this fact, DES is still sometimes chosen to

protect some of the applications described above. Below, we discuss why this should, in many cases, be remedied.

4. Attacking DES

DES is a 64-bit block cipher having a key size of 56 bits. The key

actually has 64 bits (matching the block size), but 1 bit in each

byte has been designated a ’parity’ bit, and is not used for

cryptographic purposes. For a full discussion of the history of DES along with an accessible description of the algorithm, see [SCHN96].

A detailed description of the various types of attacks on

cryptographic algorithms is beyond the scope of this document, but

for clarity, we provide the following brief descriptions. There are two general aspects of attacks we must consider: the form of the

inputs/outputs along with how we might influence them, and the

internal function of the cryptographic operations themselves.

In terms of input/output form, some of the more commonly discussed

attack characteristics include the following:

o known plaintext - the attacker knows some of the plaintext

corresponding to some of the ciphertext

o ciphertext-only - only ciphertext is available to the attacker,

who has little or no information about the plaintext

Kelly Informational [Page 8]

o chosen plaintext - the attacker can choose which plaintext is

encrypted, and obtain the corresponding ciphertext

o birthday attacks - relies on the fact that for N elements,

collisions can be expected in ?sqrt(N) randomly chosen samples;

for systems using CBC mode with random Initialization Vectors

(IVs), ciphertext collisions can be expected in about 2^28

samples. Such collisions leak information about the corresponding plaintexts: if the same cryptographic key is used, then the xor of the IVs is equal to the xor of the plaintexts.

o meet-in-the-middle attacks - leverages birthday characteristic to precompute potential key collision values

Due to the limited scope of this document, these are very brief

descriptions of very complex subject matter. For more detailed

discussions on these and many related topics, see [SCHN96], [HAC], or [FERG03].

As for attack characteristics relating to the operational aspects of cipher algorithms, there are essentially two broad classes we

consider: cryptanalytic attacks, which exploit some internal

structure or function of the cipher algorithm, and brute-force

attacks, in which the attacker systematically tries keys until the

right one is found. These could alternatively be referred to as

white box and black box attacks, respectively. These are discussed

further below.

4.1. Brute-Force Attacks

In general, a brute-force attack consists of trying each possible key until the correct key is found. In the worst case, this will require 2^n steps for a key size of n bits, and on average, it will require

2^n-1 steps. For DES, this implies 2^56 encryption operations in the worst case, and 2^55 encryption operations on average, if we assume

no shortcuts exist. As it turns out, the complementation property of DES provides an attack that yields a reduction by a factor of 2 for a chosen plaintext attack, so this attack requires an average of 2^54

encryption operations.

Above, we refer to 2^n ’steps’; note that what a ’step’ entails

depends to some extent on the first attack aspect described above,

i.e., what influence and knowledge we have with respect to input/

output forms. Remember, in the worst case, we will be performing

72,057,594,037,927,936 -- over 72 quadrillion -- of these ’steps’.

In the most difficult case, we have ciphertext only, and no knowledge of the input, and this is very important.

Kelly Informational [Page 9]

If the input is effectively random, we cannot tell by simply looking at a decrypted block whether we’ve succeeded or not. We may have to resort to other potentially expensive computation to make this

determination. While the effect of any additional computation will

be linear across all keys, repeating a large amount of added

computation up to 72 quadrillion times could have a significant

impact on the cost of a brute-force attack against the algorithm.

For example, if it takes 1 additional microsecond per computation,

this will add almost 101 days to our worst-case search time, assuming a serial key search.

On the other hand, if we can control the input to the encryption

function (known plaintext), we know precisely what to expect from the decryption function, so detecting that we’ve found the key is

straightforward. Alternatively, even if we don’t know the exact

input, if we know something about it (e.g., that it’s ASCII), with

limited additional computation we can infer that we’ve most likely

found a key. Obviously, which of these conditions holds may

significantly influence attack time.

4.1.1. Parallel and Distributed Attacks

Given that a brute-force attack involves systematically trying keys

until we find the right one, it is obviously a good candidate for

parallelization. If we have N processors, we can find the key

roughly N times faster than if we have only 1 processor. This

requires some sort of centralized control entity that distributes the work and monitors the search process, but is quite straightforward to implement.

There are at least two approaches to parallelization of a brute-force attack on a block cipher: the first is to build specialized high-

speed hardware that can rapidly cycle through keys while performing

the cryptographic and comparison operations, and then replicate that hardware many times, while providing for centralized control. The

second involves using many copies of general purpose hardware (e.g., a PC), and distributing the load across these while placing them

under the control of one or more central systems. Both of these

approaches are discussed further in sections 5 and 6.

4.2. Cryptanalytic Attacks

Brute-force attacks are so named because they don’t require much

intelligence in the attack process -- they simply try one key after

the other, with little or no intelligent keyspace pruning.

Cryptanalytic attacks, on the other hand, rely on application of some intelligence ahead of time, and by doing so, provide for a

significant reduction of the search space.

Kelly Informational [Page 10]

While an in-depth discussion of cryptanalytic techniques and the

resulting attacks is well beyond the scope of this document, it is

important to briefly touch on this area in order to set the stage for subsequent discussion. It is also important to note that, in

general, cryptanalysis can be applied to any cryptographic algorithm with varying degrees of success. However, we confine ourselves here to discussing specific results with respect to DES.

Here is a very brief summary of the currently known cryptanalytic

attacks on DES:

o Differential Cryptanalysis - First discussed by Biham and Shamir, this technique (putting it very simply) analyzes how differences

in plaintext correspond to differences in ciphertext. For more

detail, see [BIH93].

o Linear Cryptanalysis - First described by Matsui, this technique

uses linear approximations to describe the internal functions of

DES. For more detail, see [MAT93].

o Interpolation Attack - This technique represents the S-boxes of

DES with algebraic functions, and then estimates the coefficients of the functions. For more information, see [JAK97].

o Key Collision Attack - This technique exploits the birthday

paradox to produce key collisions [BIH96].

o Differential Fault Analysis - This attack exploits the electrical characteristics of the encryption device, selectively inducing

faults and comparing the results with uninfluenced outputs. For

more information, see [BIH96-2].

Currently, the best publicly known cryptanalytic attacks on DES are

linear and differential cryptanalysis. These attacks are not

generally considered practical, as they require 2^43 and 2^47 known

plaintext/ciphertext pairs, respectively. To get a feel for what

this means in practical terms, consider the following:

o For linear cryptanalysis (the more efficient of the two attacks), the attacker must pre-compute and store 2^43 ciphertexts; this

requires 8,796,093,022,208 (almost 9 trillion) encryption

operations.

o Each ciphertext block is 8 bytes, so the total required storage is 70,368,744,177,664 bytes, or about 70,369 gigabytes of storage.

If the plaintext blocks cannot be automatically derived, they too must be stored, potentially doubling the storage requirements. Kelly Informational [Page 11]

o The 2^43 known plaintext blocks must be somehow fed to the device under attack, and that device must not change the encryption key

during this time.

Clearly, there are practical issues with this attack. Still, it is

sobering to look at how much more realistic 70,000 gigabytes of

storage is today than it must have seemed in 1993, when Matsui first proposed this attack. Today, 400-GB hard drives can be had for

around $0.35/gigabyte. If we only needed to store the known

ciphertext, this amounts to ?176 hard drives at a cost of less than

$25,000. This is probably practical with today’s technology for an

adversary with significant financial resources, though it was

difficult to imagine in 1993. Still, numerous other practical issues remain.

4.3. Practical Considerations

Above, we described several types of attacks on DES, some of which

are more practical than others, but it’s very important to recognize that brute force represents the very worst case, and cryptanalytic

attacks can only improve on this. If a brute-force attack against a given DES application really is feasible, then worrying about the

practicality of the other theoretical attack modes is just a

distraction. The bottom line is this: if DES can be brute-forced at a cost the attacker can stomach today, this cost will invariably come down as technology advances.

5. The EFF DES Cracker

On the question as to whether DES is susceptible to brute-force

attack from a practical perspective, the answer is a resounding and

unequivocal "yes". In 1998, the Electronic Frontier Foundation

financed the construction of a "DES Cracker", and subsequently

published "Cracking DES" [EFF98]. For a cost of less than $250,000, this system can find a 56-bit DES key in the worst-case time of

around 9 days, and in 4.5 days on average.

Quoting from [EFF98],

"The design of the EFF DES Cracker is simple in concept. It consists of an ordinary personal computer connected with a large array of

custom chips. Software in the personal computer instructs the custom chips to begin searching, and interacts with the user. The chips run without further help from the software until they find a potentially interesting key, or need to be directed to search a new part of the

key space. The software periodically polls the chips to find any

potentially interesting keys that they have turned up.

Kelly Informational [Page 12]

The hardware’s job isn’t to find the answer. but rather to eliminate most of the answers that are incorrect. Software is then fast enough to search the remaining potentially-correct keys, winnowing the false positives from the real answer. The strength of the machine is that it replicates a simple but useful search circuit thousands of times, allowing the software to find the answer by searching only a tiny

fraction of the key space.

As long as there is a small bit of software to coordinate the effort, the problem of searching for a DES key is ’highly parallelizable’.

This means the problem can be usefully solved by many machines

working in parallel, simultaneously. For example, a single DES-

Cracker chip could find a key by searching for many years. A

thousand DES-Cracker chips can solve the same problem in one

thousandth of the time. A million DES-Cracker chips could

theoretically solve the same problem in about a millionth of the

time, though the overhead of starting each chip would become visible in the time required. The actual machine we built contains 1536

chips."

This project clearly demonstrated that a practical system for brute

force DES attacks was well within reach of many more than previously assumed. Practically any government in the world could easily

produce such a machine, and in fact, so could many businesses. And

that was in 1998; the technological advances since then have greatly reduced the cost of such a device. This is discussed further below.

6. Other DES-Cracking Projects

In the mid-1990s, many were interested in whether or not DES was

breakable in a practical sense. RSA sponsored a series of DES

Challenges over a 3-year period beginning January of 1997. These

challenges were created in order to help underscore the point that

cryptographic strength limitations imposed by the U.S. government’s

export policies were far too modest to meet the security requirements of many users.

The first DES challenge was solved by the DESCHALL group, led by

Rocke Verser, Matt Curtin, and Justin Dolske [CURT05][RSA1]. They

created a loosely-knit distributed effort staffed by volunteers and

backed by Universities and corporations all over the world who

donated their unused CPU cycles to the effort. They found the key in 90 days.

The second DES challenge was announced on December 19, 1997

[RSA2][CURT05], and on February 26, 1998, RSA announced a winner.

This time, the challenge was solved by group called https://www.doczj.com/doc/f715876996.html, Kelly Informational [Page 13]

working together with the EFF, in a total of 39 days [RSA3] [CURT05]. This group coordinated 22,000 participants and over 50,000 CPUs.

The third DES challenge was announced on December 22, 1998

[RSA4][CURT05], and on January 19, 1999, RSA announced the winner.

This time, the challenge was again solved by https://www.doczj.com/doc/f715876996.html, working together with the EFF, in a total of 22 hours [RSA5]. This was a

dramatic improvement over the second challenge, and should give some idea of where we’re headed with respect to DES.

7. Building a DES Cracker Today

We’ve seen what was done in the late 1990s -- what about today? A

survey of the literature might lead one to conclude that this topic

is no longer interesting to cryptographers. Hence, we are left to

infer the possibilities based on currently available technologies.

One way to derive an approximation is to apply a variation on

"Moore’s Law": assume that the cost of a device comparable to the one built by the EFF would be halved roughly every N months. If we take N=18, then for a device costing $250,000 at the end of 1998, this

would predict the following cost curve:

o mid-2000............: $125,000

o beginning of 2002...: $62,500

o mid-2003............: $31,250

o beginning of 2006...: $15,625

It’s important to note that strictly speaking, "Moore’s Law" is more an informal approximation than a law, although it has proven to be

uncannily accurate over the last 40 years or so. Also, some would

disagree with the use of an 18-month interval, preferring a more

conservative 24 months instead. So, these figures should be taken

with the proverbial grain of salt. Still, it’s important to

recognize that this is the cost needed not to crack one key, but to

get into the key-cracking business. Offering key-cracking services

and keeping the machine relatively busy would dramatically decrease

the cost to a few hundred dollars per unit or less.

Given that such calculations roughly hold for other computing

technologies over the same time interval, the estimate above does not seem too unreasonable, and is probably within a factor of two of

today’s costs. Clearly, this would seem to indicate that DES-

cracking hardware is within reach of a much broader group than in

1998, and it is important to note that this assumes no design or

algorithm improvements since then.

Kelly Informational [Page 14]

To put this in a slightly different light, let’s consider the typical rendition of Moore’s Law for such discussions. Rather than

considering shrinking cost for the same capability, consider instead increasing capability for the same cost (i.e., doubling circuit

densities every N months). Again choosing N=18, our DES-cracking

capability (in worst-case time per key) could be expected to have

approximately followed this performance curve over the last 7 or so

years:

o 1998................: 9 days

o mid-2000............: 4.5 days

o beginning of 2002...: 2.25 days

o mid-2003............: 1.125 days

o beginning of 2006...: 0.5625 days

That’s just over a half-day in the worst case for 2006, and under 7

hours on average. And this, for an investment of less than $250,000. It’s also very important to note that we are talking about worst-case and average times here - sometimes, keys will be found much more

quickly. For example, using such a machine, 1/4 of all possible DES keys will be found within 3.375 hours. 1/8 of the keys will be found in less than 1 hour and 42 minutes. And this assumes no algorithmic improvements have occurred. And again, this is an estimate; your

actual mileage may vary, but the estimate is probably not far from

reality.

7.1. FPGAs

Since the EFF device first appeared, Field Programmable Gate Arrays

(FPGAs) have become quite common, and far less costly than they were in 1998. These devices allow low-level logic programming, and are

frequently used to prototype new logic designs prior to the creation of more expensive custom chips (also known as Application Specific

Integrated Circuits, or ASICs). They are also frequently used in

place of ASICs due to their lower cost and/or flexibility. In fact, a number of embedded systems implementing cryptography have employed FPGAs for this purpose.

Due to their generalized nature, FPGAs are naturally slower than

ASICs. While the speed difference varies based on many factors, it

is reasonable for purposes of this discussion to say that well-

designed FPGA implementations typically perform cryptographic

Kelly Informational [Page 15]

operations at perhaps 1/4 the speed of well-designed ASICs performing the same operations, and sometimes much slower than that. The

significance of this comparison will become obvious shortly.

In our Moore’s Law estimate above, we noted that the cost

extrapolation assumes no design or algorithm improvements since 1998. It also implies that we are still talking about a brute-force attack. In section 4 ("Attacking DES"), we discussed several cryptanalytic

attacks, including an attack that employs linear cryptanalysis

[MAT93]. In general, this attack has been considered impractical,

but in 2002, a group at Universite Catholique de Louvain in Belgium

built a DES cracker based on linear cryptanalysis, which, employing a single FPGA, returns a DES key in 12-15 hours [FPL02].

While there are still some issues of practicality in terms of

applying this attack in the real world (i.e., the required number of known plaintext-ciphertext pairs), this gives a glimpse of where

technology is taking us with respect to DES attack capabilities.

7.2. ASICs

Application Specific Integrated Circuits are specialized chips,

typically optimized for a particular set of operations (e.g.,

encryption). There are a number of companies that are in the

business of designing and selling cryptographic ASICs, and such chips can be had for as little as $15 each at the low end. But while these chips are potentially much faster than FPGAs, they usually do not

represent a proportionally higher threat when it comes to

DES-cracking system construction.

The primary reason for this is cost: it currently costs more than

$1,000,000 to produce an ASIC. There is no broad commercial market

for crypto-cracking ASICs, so the number a manufacturer could expect to sell is probably small. Likewise, a single attacker is not likely to require more than a few of these. The bottom line: per-chip costs would be very high; when compared to the costs of FPGAs capable of

similar performance, the FPGAs are clear winners. This doesn’t mean such ASICs have never been built, but the return is probably not

worth the investment for the average attacker today, given the other available options.

7.3. Distributed PCs

Parallel processing is a powerful tool for conducting brute-force

attacks against a block cipher. Since each key can be tested

independently, the keyspace can easily be carved up and distributed

across an arbitrary number of processors, all of which are running

identical code. A central "control" processor is required for

Kelly Informational [Page 16]

distributing tasks and evaluating results, but this is

straightforward to implement, and this paradigm has been applied to

many computing problems.

While the EFF demonstrated that a purpose-built system is far

superior to general purpose PCs when applied to cracking DES, the

DESCHALL effort [CURT05][RSA1] aptly demonstrated that the idle

cycles of everyday users’ PCs could be efficiently applied to this

problem. As noted above, https://www.doczj.com/doc/f715876996.html, teamed with the EFF group

to solve the third RSA DES Challenge using a combination of PCs and

the EFF’s "Deep Crack" machine to find a DES key in 22 hours. And

that was using 1999 technologies.

Clearly, PCs have improved dramatically since 1999. At that time,

state-of-the-art desktops ran at around 800MHz. Today, desktop PCs

commonly run at 3-4 times that speed, and supporting technologies

(memory, cache, storage) offer far higher performance as well. Since the https://www.doczj.com/doc/f715876996.html, effort used a broad spectrum of computers (from

early 1990s desktops to state-of-the-art (in 1999) multiprocessors,

according to [DIST99]), it is difficult to do a direct comparison

with today’s technologies. Still, we know that performance has, in

general, followed the prediction of Moore’s Law, so we should expect an improvement on the order of a factor of 8-16 by now, even with no algorithmic improvements

7.3.1. Willing Participants

It is important to note that the https://www.doczj.com/doc/f715876996.html, efforts have relied upon willing participants. That is, participants must explicitly and voluntarily join the effort. It is equally important to note that

only the idle cycles of the enrolled systems are used. Depending on the way in which "idle" is defined, along with the user’s habits and computing requirements, this could have a significant effect on the

contribution level of a given system.

These factors impose significant limitations in terms of scale.

While https://www.doczj.com/doc/f715876996.html, was able to enlist over 100,000 computers from around the world for the third RSA DES Challenge, this is actually a rather small number when compared to 2^56 (over 72 quadrillion)

possible DES keys. And when you consider the goal (i.e., to prove

DES can be cracked), it seems reasonable to assume these same

participants would not willingly offer up their compute cycles for a more nefarious use (like attacking the keys used to encrypt your

online banking session). Hence, this particular model does not

appear to pose a significant threat to most uses of encryption today. However, below, we discuss a variation on this approach that does

pose an immediate threat.

Kelly Informational [Page 17]

7.3.2. Spyware and Viruses and Botnets (oh my!)

"Spyware" is a popular topic in security newsfeeds these days. Most of these applications are intended to display context-sensitive

advertisements to users, and some actually modify a user’s web

browsing experience, directing them to sites of the distributor’s

choice in an effort to generate revenue. There are many names for

this type of software, but for our purposes, we will refer to it

simply as "spyware". And while there are some instances in which

rogue software actually does spy on hapless users and report things

back to the issuer, we do not focus here on such distinctions.

Indeed, what we are more interested in is the broader modality in

which this software functions: it is typically installed without the explicit knowledge and/or understanding of the user, and typically

runs without the user’s knowledge, sometimes slowing the user’s PC to a crawl. One might note that such behavior seems quite surprising in view of the fact that displaying ads to users is actually a light-

weight task, and wonder what this software is actually doing with all those compute cycles.

Worms and viruses are also very interesting: like spyware, these are installed without the user’s knowledge or consent, and they use the

computer in ways the user would not voluntarily allow. And unlike

the spyware that is most common today, this malware usually contains explicit propagation technology by which it automatically spreads.

It is not difficult to imagine where we are going with this: if you

combine these techniques, forcible induction of user machines into an "army" of systems becomes possible. This approach was alluded to in [CURT98] and, in fact, is being done today.

Botnets [BOT05] represent a relatively recent phenomena. Using

various propagation techniques, malware is distributed across a range of systems, where it lies in wait for a trigger of some sort. These "triggers" may be implemented through periodic polling of a

centralized authority, the arrival of a particular date, or any of a large number of other events. Upon triggering, the malware executes its task, which may involve participating in a Distributed Denial of Service (DDoS) attack, or some other type of activity.

Criminal groups are currently renting out botnets for various uses

[CERT01]. While reported occurrences have typically involved using

these rogue networks for DDoS attacks, we would be naive to think

other uses (e.g., breaking encryption keys) have not been considered. Botnets greatly mitigate the scaling problem faced by

https://www.doczj.com/doc/f715876996.html,: it is no longer a volunteer-only effort, and user

activity no longer significantly impedes the application’s progress. This should give us pause.

Kelly Informational [Page 18]

It is very important to clearly recognize the implications of this:

botnets are cheap, and there are lots of PCs out there. You don’t

need the $15,625 that we speculated would be enough to build a copy

of the EFF system today -- you only need a commodity PC on which to

develop the malware, and the requisite skills. Or, you need access

to someone with those things, and a relatively modest sum of cash.

The game has changed dramatically.

8. Why is DES Still Used?

Obviously, DES is not secure by most measures -- why is it still used today? There are probably many reasons, but here are perhaps the

most common:

o Backward compatibility - Numerous deployed systems support DES,

and rather than replace those systems, new systems are implemented with compatibility in mind.

o Performance - Many early VPN clients provided DES as the default

cryptographic algorithm, because PCs of the day suffered a

noticeable performance hit when applying stronger cryptography

(e.g., 3DES).

o Ignorance - People simply do not understand that DES is no longer secure for most uses.

While there are probably other reasons, these are the most frequently cited.

Performance arguments are easily dispensed with today. PCs have more than ample power to implement stronger cryptography with no

noticeable performance impact, and for systems that are resource

constrained, there are strong algorithms that are far better

performers than DES (e.g., AES-128). And while backward

compatibility is sometimes a valid argument, this must be weighed

carefully. At the point where the risk is higher than the cost of

replacement, legacy systems should be abandoned.

With respect to the third reason (ignorance), this note attempts to

address this, and we should continue to make every effort to get the word out. DES is no longer secure for most uses, and it requires

significant security expertise to evaluate those small number of

cases in which it might be acceptable. Technologies exist that put

DES-cracking capability within reach of a modestly financed or

modestly skilled motivated attacker. There are stronger, cheaper,

faster encryption algorithms available. It is time to move on.

Kelly Informational [Page 19]

9. Security Considerations

This entire document deals with security considerations. Still, it

makes sense to summarize a few key points here. It should be clear

by now that the DES algorithm offers little deterrence for a

determined adversary. While it might have cost $250,000 to build a

dedicated DES cracker in 1998, nowadays it can be done for

considerably less. Indeed, botnets are arguably free, if you don’t

count the malware author’s time in your cost computation.

Does this mean DES should never be used? Well, no - but it does mean that if it is used at all, it should be used with extreme care. It

is important to carefully evaluate the value of the information being protected, both to its owner and to an attacker, and to fully grasp

the potential risks. In some cases, DES may still provide an

acceptable level of security, e.g., when you want to encrypt a file

on the family PC, and there are no real threats in your household.

However, it is important to recognize that, in such cases, DES is

much like a cheap suitcase lock: it usually helps honest people

remain honest, but it won’t stop a determined thief. Given that

strong, more efficient cryptographic algorithms (e.g., AES) are

available, it seems the only rational reason to continue using DES

today is for compulsory backward compatibility. In such cases, if

there is no plan for gradually phasing out such products, then, as a security implementer, you can do the following:

o Recommend a phased upgrade approach.

o If possible, use 3DES rather than DES (and in any case, DO NOT

make DES the default algorithm!).

o Replace keys before exceeding 2^32 blocks per key (to avoid

various cryptanalytic attacks).

o If there is a user interface, make users aware of the fact that

the cryptography in use is not strong, and for your particular

application, make appropriate recommendations in this regard.

The bottom line: it is simpler to not use this algorithm than it is

to come up with narrow scenarios in which it might be okay. If you

have legacy systems relying on DES, it makes sense to begin phasing

them out as soon as possible.

Kelly Informational [Page 20]

不必太在意童安格原唱【不必太在意的歌词】

不必太在意童安格原唱【不必太在意的歌词】 是不是在找这首不必太在意的相关歌词?我这里有哦!下面是!就让小编来我来和你们一起去了解一下相关的资料吧,希望能对你有用哦! 不必太在意的歌词 歌曲:不必太在意 歌手:童安格专辑:一世情缘 别再徘徊沉寂的心灵 别再留恋破碎的回忆 大地迎春雷 抛弃你满腹的忧虑 缤纷的彩虹等着你 别再犹豫等待的心湖 别再沉迷过去的旧梦 暖暖的春风 走向那灿烂的天涯路

耀眼的阳光迎着你你不必太在意 也不必隐瞒自己 你要寻觅亮丽的彩云你不必太在意 也不必隐瞒自己 你要寻觅亮丽的彩云亮丽的彩云 别再犹豫等待的心湖别再沉迷过去的旧梦暖暖的春风 走向那灿烂的天涯路耀眼的阳光迎着你你不必太在意

也不必隐瞒自己 你要寻觅亮丽的彩云 你不必太在意 也不必隐瞒自己 你要寻觅亮丽的彩云 亮丽的彩云 你不必太在意 也不必隐瞒自己 你要寻觅亮丽的彩云 你不必太在意 也不必隐瞒自己 你要寻觅亮丽的彩云 亮丽的彩云 不必太在意的演唱者的信息 童安格,著名歌手、音乐人,1959年7月26日生于台湾高雄,是华语乐坛较早的实力派歌手。集作曲、作词、演唱于一身,是典型的浪漫主义爱情故事的发言人。他于1987

年获台湾最受欢迎男歌星奖。他1996年参加中央电视台春节联欢晚会,演唱歌曲《畅饮回忆》,是国内较早深受欢迎的实力歌手。与王杰、周华健、齐秦并称台湾四大天王(9194年)。童安格演唱过《把根留住》、《耶利亚女郎》、《其实你不懂我的心》等经典歌曲,2011年底,童安格以全新形象与著名的经纪公司点时唱片签约,并成为旗下主推艺人。目前,童安格在内地发展。2012年底,发行他的全新大碟。 感谢您的阅读!

公务员考试全流程

公务员考试全流程 Document number:BGCG-0857-BTDO-0089-2022

广州市直MM为大家解答本次广州市考相关问题 管理提醒:本帖被 the9sun 设置为精华(2011-10-26) 09年考公进入广州市直MM,混迹qzzn多年终上岸,目前在市直组织人事部门任职,直接参与招考各个环节。 此次我所属的单位也有参加招考,看到坛子上很多xdjm挺多疑问,为回报论坛,特为此次市考的面试、资格审查、政审等问题,为大家解答。知无不言 关于大家关心的几个问题,在此一并解答一下 一、资格审查需要准备哪些材料(所有资料都要带原件、复印件) 1. 应届毕业生: 必须带上:身份证+学生证+普通高校毕业生就业推荐表+暂缓协议 其他备用:户口本、计划生育保证书(如果没带就当场写) 2. 社会人员:

必须带上:身份证+户口簿+学历证书+学位证书。 2年经验人员必须带劳动合同;如果没有劳动合同,带上单位工作经历证明+社保记录盖章;如果没有合同又没有证明,带上社保记录盖章 社会人员:带上单位工作经历证明备用 3. 在国有单位工作,必须带单位同意报考证明。 在事业单位工作的事业编,必须带单位同意报考证明。 在事业单位的派遣或者合同制员工,不用带同意报考证明。 二、面试环节需要注意哪些: 大家都知道的就不说了,说几个具体的细节 1.考官一般有10-12人。正面面对而坐,面试时间一个人15-20分钟,4-5个题 2. 面试一般有主考官念题,只念一遍(所以要挺清楚)

3. 考试面前一般都有一张白纸和一只笔。因此允许短时间的思考和列提纲(不过建议不要思考时间太长,15-20秒则ok) 4. 面试着装:自己穿着觉着舒服的正装。现在夏天,男生适合短袖衬衣+西裤,建议不打领带;女生适合套裙或者短袖衬衣+西裤 5. 面试之后,一般会要求到其他办公室回避一下,大概过几分钟,就会把面试成绩当场宣布给你。等面试人员基本结束后,就可以大致算出各自排名了。 三、体检 1. 体检一般是面试后两三天就开始,广州市考有几个定点体检医院,一般是各单位就近选择 2. 体检每个项目由医生填写具体记录和项目结论“合格”或“不合格”。如果有单项不合格,一般是不会录用的。医院也是根据公务员录用的要求来填写是否合格 3. 体检一般第二天或第三天招考单位即可知道结果。不联系考生则为通过了,如果联系考生可能就是要复检

童安格歌曲歌词

童安格 爱与哀愁演唱:童安格 走在风雨中我不曾回头,只想让自己习惯寂寞。 如果在梦中没有你没有我,能不能够让自己不再难过。 爱并不会是一种罪过,恨也不会是一种解脱。 爱与哀愁对我来说象杯烈酒,美丽却难以承受;点一根烟喝一杯酒能醉多久,醒来后依然是我。 走在风雨中我不曾回头,只想让自己习惯寂寞。 如果在梦中没有你没有我,能不能够让自己不再难过。 爱并不会是一种罪过,恨也不会是一种解脱。 爱与哀愁对我来说象杯烈酒,美丽却难以承受;点一根烟喝一杯酒能醉多久,醒来后依然是我。爱与哀愁对我来说象杯烈酒,美丽却难以承受;点一根烟喝一杯酒能醉多久,醒来后依然是我。走在风雨中我不想回头,能不能够让自己不再难过。 把根留住演唱:童安格 多少脸孔,茫然随波逐流,他们在追寻什么。为了生活,人们四处奔波,却在命运中交错。 多少岁月,凝聚成这一刻,期待着旧梦重圆。万涓成水,终究汇流成河,像一首澎湃的歌。 一年过了一年,啊~ 一生只为这一天,让血脉再相连,擦干心中的血和泪痕,留住我们的根。 多少岁月,凝聚成这一刻,期待着旧梦重圆。万涓成水,终究汇流成河,像一首澎湃的歌。 一年过了一年,啊~ 一生只为这一天,让血脉再相连,擦干心中的血和泪痕,留住我们的根。 草原词曲:童安格演唱:童安格 小孩你问我是从哪儿来,我说那秘密挂在那朵云彩 我问你小孩,谁给你胸前的玉块,他说他不知是谁将它生了下来 小孩你问我为何要皱着眉,我说我曾经辜负一个姐姐 我问你小孩为何要流着泪,他说他心爱的小羊迷路没能回来 青山和绿湾,埋藏了所有的忧伤;天空和海洋,哪里才是梦乡。 那草原,那一片草原就是你我的家。那草原,那一片草原就是你我的家。 青山和绿湾,埋藏了所有的忧伤;天空和海洋,哪里才是梦乡。 那草原,那一片草原就是你我的家。那草原,那一片草原就是你我的家。 那草原,那一片草原就是你我的家。那草原,那一片草原就是你我的家。 小孩你问我何时会再有笑容,我说当我再看到姐姐的脸。 花瓣雨演唱:童安格 爱一个人可以爱多久,心痛到那里才是尽头,花瓣雨,像我的情衷。 誓言怎样说才不会错,拥抱到天明算不算多,花瓣雨,飘落在(我)身后。 花瓣雨,就像你牵绊着我,失去了你,只会在风中堕落。 你的谎言像颗泪水,晶莹夺目却叫人心碎,花瓣雨,飘落在(我)身后。 花瓣雨,就像你牵绊着我,失去了爱,只会在风中堕落。 你的谎言像颗泪水,晶莹夺目却叫人心碎,花瓣雨,飘落在(我)身后。 花瓣雨,就像你牵绊着我,失去了爱,只会在风中堕落。 花瓣雨,飘落在我身后。

公务员考试的流程

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