Security Features for Solid State Drives in Defense Applications White Paper
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Basic Cryptography
Basic cryptography • How cryptography works... • Symmetric cryptography... • Public key cryptography... • Online Resources... • Printed Resources... I VP R 1 © Copyright 2002-2007 Haim Levkowitz How cryptography works • Plaintext • Ciphertext • Cryptographic algorithm • Key Decryption Key Algorithm Plaintext Ciphertext Encryption I VP R 2 © Copyright 2002-2007 Haim Levkowitz Simple cryptosystem ... ! ABCDEFGHIJKLMNOPQRSTUVWXYZ ! DEFGHIJKLMNOPQRSTUVWXYZABC • Caesar Cipher • Simple substitution cipher • ROT-13 • rotate by half the alphabet • A => N B => O I VP R 3 © Copyright 2002-2007 Haim Levkowitz Keys cryptosystems … • keys and keyspace ... • secret-key and public-key ... • key management ... • strength of key systems ... I VP R 4 © Copyright 2002-2007 Haim Levkowitz Keys and keyspace … • ROT: key is N • Brute force: 25 values of N • IDEA (international data encryption algorithm) in PGP: 2128 numeric keys • 1 billion keys / sec ==> >10,781,000,000,000,000,000,000 years I VP R 5 © Copyright 2002-2007 Haim Levkowitz Symmetric cryptography • DES • Triple DES, DESX, GDES, RDES • RC2, RC4, RC5 • IDEA Key • Blowfish Plaintext Encryption Ciphertext Decryption Plaintext Sender Recipient I VP R 6 © Copyright 2002-2007 Haim Levkowitz DES • Data Encryption Standard • US NIST (‘70s) • 56-bit key • Good then • Not enough now (cracked June 1997) • Discrete blocks of 64 bits • Often w/ CBC (cipherblock chaining) • Each blocks encr. depends on contents of previous => detect missing block I VP R 7 © Copyright 2002-2007 Haim Levkowitz Triple DES, DESX, -
Block Ciphers and the Data Encryption Standard
Lecture 3: Block Ciphers and the Data Encryption Standard Lecture Notes on “Computer and Network Security” by Avi Kak ([email protected]) January 26, 2021 3:43pm ©2021 Avinash Kak, Purdue University Goals: To introduce the notion of a block cipher in the modern context. To talk about the infeasibility of ideal block ciphers To introduce the notion of the Feistel Cipher Structure To go over DES, the Data Encryption Standard To illustrate important DES steps with Python and Perl code CONTENTS Section Title Page 3.1 Ideal Block Cipher 3 3.1.1 Size of the Encryption Key for the Ideal Block Cipher 6 3.2 The Feistel Structure for Block Ciphers 7 3.2.1 Mathematical Description of Each Round in the 10 Feistel Structure 3.2.2 Decryption in Ciphers Based on the Feistel Structure 12 3.3 DES: The Data Encryption Standard 16 3.3.1 One Round of Processing in DES 18 3.3.2 The S-Box for the Substitution Step in Each Round 22 3.3.3 The Substitution Tables 26 3.3.4 The P-Box Permutation in the Feistel Function 33 3.3.5 The DES Key Schedule: Generating the Round Keys 35 3.3.6 Initial Permutation of the Encryption Key 38 3.3.7 Contraction-Permutation that Generates the 48-Bit 42 Round Key from the 56-Bit Key 3.4 What Makes DES a Strong Cipher (to the 46 Extent It is a Strong Cipher) 3.5 Homework Problems 48 2 Computer and Network Security by Avi Kak Lecture 3 Back to TOC 3.1 IDEAL BLOCK CIPHER In a modern block cipher (but still using a classical encryption method), we replace a block of N bits from the plaintext with a block of N bits from the ciphertext. -
1 Perfect Secrecy of the One-Time Pad
1 Perfect secrecy of the one-time pad In this section, we make more a more precise analysis of the security of the one-time pad. First, we need to define conditional probability. Let’s consider an example. We know that if it rains Saturday, then there is a reasonable chance that it will rain on Sunday. To make this more precise, we want to compute the probability that it rains on Sunday, given that it rains on Saturday. So we restrict our attention to only those situations where it rains on Saturday and count how often this happens over several years. Then we count how often it rains on both Saturday and Sunday. The ratio gives an estimate of the desired probability. If we call A the event that it rains on Saturday and B the event that it rains on Sunday, then the intersection A ∩ B is when it rains on both days. The conditional probability of A given B is defined to be P (A ∩ B) P (B | A)= , P (A) where P (A) denotes the probability of the event A. This formula can be used to define the conditional probability of one event given another for any two events A and B that have probabilities (we implicitly assume throughout this discussion that any probability that occurs in a denominator has nonzero probability). Events A and B are independent if P (A ∩ B)= P (A) P (B). For example, if Alice flips a fair coin, let A be the event that the coin ends up Heads. If Bob rolls a fair six-sided die, let B be the event that he rolls a 3. -
Related-Key Cryptanalysis of 3-WAY, Biham-DES,CAST, DES-X, Newdes, RC2, and TEA
Related-Key Cryptanalysis of 3-WAY, Biham-DES,CAST, DES-X, NewDES, RC2, and TEA John Kelsey Bruce Schneier David Wagner Counterpane Systems U.C. Berkeley kelsey,schneier @counterpane.com [email protected] f g Abstract. We present new related-key attacks on the block ciphers 3- WAY, Biham-DES, CAST, DES-X, NewDES, RC2, and TEA. Differen- tial related-key attacks allow both keys and plaintexts to be chosen with specific differences [KSW96]. Our attacks build on the original work, showing how to adapt the general attack to deal with the difficulties of the individual algorithms. We also give specific design principles to protect against these attacks. 1 Introduction Related-key cryptanalysis assumes that the attacker learns the encryption of certain plaintexts not only under the original (unknown) key K, but also under some derived keys K0 = f(K). In a chosen-related-key attack, the attacker specifies how the key is to be changed; known-related-key attacks are those where the key difference is known, but cannot be chosen by the attacker. We emphasize that the attacker knows or chooses the relationship between keys, not the actual key values. These techniques have been developed in [Knu93b, Bih94, KSW96]. Related-key cryptanalysis is a practical attack on key-exchange protocols that do not guarantee key-integrity|an attacker may be able to flip bits in the key without knowing the key|and key-update protocols that update keys using a known function: e.g., K, K + 1, K + 2, etc. Related-key attacks were also used against rotor machines: operators sometimes set rotors incorrectly. -
The 2006 Analysis of Information Remaining on Disks Offered for Sale on the Second Hand Market
Journal of Digital Forensics, Security and Law Volume 1 Number 3 Article 2 2006 The 2006 Analysis of Information Remaining on Disks Offered for Sale on the Second Hand Market Andy Jones Security Research Center, British Telecommunicationsand Edith Cowan University Craig Valli Edith Cowan University Iain Sutherland University of Glamorgan Paula Thomas University of Glamorgan Follow this and additional works at: https://commons.erau.edu/jdfsl Part of the Computer Engineering Commons, Computer Law Commons, Electrical and Computer Engineering Commons, Forensic Science and Technology Commons, and the Information Security Commons Recommended Citation Jones, Andy; Valli, Craig; Sutherland, Iain; and Thomas, Paula (2006) "The 2006 Analysis of Information Remaining on Disks Offered for Sale on the Second Hand Market," Journal of Digital Forensics, Security and Law: Vol. 1 : No. 3 , Article 2. DOI: https://doi.org/10.15394/jdfsl.2006.1008 Available at: https://commons.erau.edu/jdfsl/vol1/iss3/2 This Article is brought to you for free and open access by the Journals at Scholarly Commons. It has been accepted for inclusion in Journal of Digital Forensics, Security and Law by an authorized administrator of (c)ADFSL Scholarly Commons. For more information, please contact [email protected]. Journal of Digital Forensics, Security and Law, Vol. 1(3) The 2006 Analysis of Information Remaining on Disks Offered for Sale on the Second Hand Market Andy Jones Security Research Center, British Telecommunications and Edith Cowan University [email protected] Phone: +44 1473 646133 Fax: +44 1473 644385 Craig Valli Edith Cowan University Iain Sutherland University of Glamorgan Paula Thomas University of Glamorgan ABSTRACT All organisations, whether in the public or private sector, use computers for the storage and processing of information relating to their business or services, their employees and their customers. -
How Blancco Helps Mobile Resellers & Recyclers Achieve Compliance
How Blancco Helps Mobile Resellers & Recyclers Achieve Compliance with the R2 Standard Mobile resellers and recyclers must comply with several standards and certifications before reselling, remarketing or recycling their devices. Following these rules helps mobile organizations ensure that they are protected from potential data remanence that could expose sensitive information. One of the most prominent certifications is called R2. The latest version of the Standard is the R2:2013. Each provision of the R2 Standard is designed to help ensure the transparency, quality, social and environmental responsibility of R2 Certified electronics facilities such as mobile resellers and recyclers. R2:2013 was developed through a transparent multi-stakeholder process, consistent with ANSI essential requirements. R2 undergoes consistent review to advance the requirements in-line with the needs of the industry. Blancco Mobile Diagnostics & Erasure solutions supply mobile resellers around the globe a certified process so that they can meet (and even exceed) the R2 standard for device testing and data sanitization. Blancco solutions exceed the requirements presented in the Standard, with verification and certification of each data erasure. This ensures that data does not remain on mobile devices following processing and prior to moving into the secondary market via reverse/forward logistics. Section of the Standard How Blancco Helps 1. Tested and Full Functions, R2/Ready for Reuse Blancco Mobile Solutions enables mobile resellers and retailers to (A) “Use effective test methods to confirm that all functions quickly and accurately find the source of mobile device issues and for equipment and components are working properly resolve them. and ready for reuse, including properly configured with appropriate legally licensed software where required for operation of equipment and components, and device specific drivers within the product’s hardware…” 2. -
Chapter 2 the Data Encryption Standard (DES)
Chapter 2 The Data Encryption Standard (DES) As mentioned earlier there are two main types of cryptography in use today - symmet- ric or secret key cryptography and asymmetric or public key cryptography. Symmet- ric key cryptography is the oldest type whereas asymmetric cryptography is only being used publicly since the late 1970’s1. Asymmetric cryptography was a major milestone in the search for a perfect encryption scheme. Secret key cryptography goes back to at least Egyptian times and is of concern here. It involves the use of only one key which is used for both encryption and decryption (hence the use of the term symmetric). Figure 2.1 depicts this idea. It is necessary for security purposes that the secret key never be revealed. Secret Key (K) Secret Key (K) ? ? - - - - Plaintext (P ) E{P,K} Ciphertext (C) D{C,K} Plaintext (P ) Figure 2.1: Secret key encryption. To accomplish encryption, most secret key algorithms use two main techniques known as substitution and permutation. Substitution is simply a mapping of one value to another whereas permutation is a reordering of the bit positions for each of the inputs. These techniques are used a number of times in iterations called rounds. Generally, the more rounds there are, the more secure the algorithm. A non-linearity is also introduced into the encryption so that decryption will be computationally infeasible2 without the secret key. This is achieved with the use of S-boxes which are basically non-linear substitution tables where either the output is smaller than the input or vice versa. 1It is claimed by some that government agencies knew about asymmetric cryptography before this. -
Chap 2. Basic Encryption and Decryption
Chap 2. Basic Encryption and Decryption H. Lee Kwang Department of Electrical Engineering & Computer Science, KAIST Objectives • Concepts of encryption • Cryptanalysis: how encryption systems are “broken” 2.1 Terminology and Background • Notations – S: sender – R: receiver – T: transmission medium – O: outsider, interceptor, intruder, attacker, or, adversary • S wants to send a message to R – S entrusts the message to T who will deliver it to R – Possible actions of O • block(interrupt), intercept, modify, fabricate • Chapter 1 2.1.1 Terminology • Encryption and Decryption – encryption: a process of encoding a message so that its meaning is not obvious – decryption: the reverse process • encode(encipher) vs. decode(decipher) – encoding: the process of translating entire words or phrases to other words or phrases – enciphering: translating letters or symbols individually – encryption: the group term that covers both encoding and enciphering 2.1.1 Terminology • Plaintext vs. Ciphertext – P(plaintext): the original form of a message – C(ciphertext): the encrypted form • Basic operations – plaintext to ciphertext: encryption: C = E(P) – ciphertext to plaintext: decryption: P = D(C) – requirement: P = D(E(P)) 2.1.1 Terminology • Encryption with key If the encryption algorithm should fall into the interceptor’s – encryption key: KE – decryption key: K hands, future messages can still D be kept secret because the – C = E(K , P) E interceptor will not know the – P = D(KD, E(KE, P)) key value • Keyless Cipher – a cipher that does not require the -
Block Cipher and Data Encryption Standard (DES)
Block Cipher and Data Encryption Standard (DES) 2021.03.09 Presented by: Mikail Mohammed Salim Professor 박종혁 Cryptography and Information Security 1 Block Cipher and Data Encryption Standard (DES) Contents • What is Block Cipher? • Padding in Block Cipher • Ideal Block Cipher • What is DES? • DES- Key Discarding Process • Des- 16 rounds of Encryption • How secure is DES? 2 Block Cipher and Data Encryption Standard (DES) What is Block Cipher? • An encryption technique that applies an algorithm with parameters to encrypt blocks of text. • Each plaintext block has an equal length of ciphertext block. • Each output block is the same size as the input block, the block being transformed by the key. • Block size range from 64 -128 bits and process the plaintext in blocks of 64 or 128 bits. • Several bits of information is encrypted with each block. Longer messages are encoded by invoking the cipher repeatedly. 3 Block Cipher and Data Encryption Standard (DES) What is Block Cipher? • Each message (p) grouped in blocks is encrypted (enc) using a key (k) into a Ciphertext (c). Therefore, 푐 = 푒푛푐푘(푝) • The recipient requires the same k to decrypt (dec) the p. Therefore, 푝 = 푑푒푐푘(푐) 4 Block Cipher and Data Encryption Standard (DES) Padding in Block Cipher • Block ciphers process blocks of fixed sizes, such as 64 or 128 bits. The length of plaintexts is mostly not a multiple of the block size. • A 150-bit plaintext provides two blocks of 64 bits each with third block of remaining 22 bits. • The last block of bits needs to be padded up with redundant information so that the length of the final block equal to block size of the scheme. -
A Gentle Introduction to Cryptography
A Gentle Introduction Prof. Philip Koopman to Cryptography 18-642 / Fall 2020 “Cryptography [without system integrity] is like investing in an armored car to carry money between a customer living in a cardboard box and a person doing business on a park bench.” – Gene Spafford © 2020 Philip Koopman 1 Cryptography Overview Anti-Patterns for Cryptography Using a home-made cryptographic algorithm Using private key when public key is required Not considering key distribution in design Cryptography terms: Plaintext: the original data Ciphertext: data after a encryption Encryption: converting plaintext to ciphertext Avalanche effect: – Confusion: multiple bits in plaintext are combined to make a ciphertext bit – Diffusion: each bit of plaintext affects many bits of ciphertext – Ideally, ciphertext is random function of plaintext bits © 2020 Philip Koopman 2 Classical Cryptography Simple substitution cipher (Caesar Cipher) “IBM” left shifted 1 becomes “HAL” – 4 or 5 bit key (26 wheel positions) https://de.wikipedia.org/wiki/Caesar- Verschl%C3%BCsselung#/media/File:Ciph erDisk2000.jpg https://en.wikipedia.org/wiki/Caesar_cipher Readily broken via frequency analysis Most common letters correspond to E, T, A, O, … https://en.wikipedia.org/wiki/Caesar_cipher Gives secrecy but not explicit integrity © 2020 Philip Koopman 3 WWII Cryptography Complex Subsitution Cipher German “Enigma” machine The “Bombe” broke Enigma Electromechanical sequencing to search for correlations using guessed plaintext – See the movie: “The Imitation Game” -
A Short-Key One-Time Pad Cipher
A short-key one-time pad cipher Uwe Starossek Abstract A process for the secure transmission of data is presented that has to a certain degree the advantages of the one-time pad (OTP) cipher, that is, simplicity, speed, and information- theoretically security, but overcomes its fundamental weakness, the necessity of securely exchanging a key that is as long as the message. For each transmission, a dedicated one-time pad is generated for encrypting and decrypting the plaintext message. This one-time pad is built from a randomly chosen set of basic keys taken from a public library. Because the basic keys can be chosen and used multiple times, the method is called multiple-time pad (MTP) cipher. The information on the choice of basic keys is encoded in a short keyword that is transmitted by secure means. The process is made secure against known-plaintext attack by additional design elements. The process is particularly useful for high-speed transmission of mass data and video or audio streaming. Keywords hybrid cipher; multiple-time pad; random key; secure transmission; mass data; streaming 1 Introduction A cipher is an algorithm for encryption and decryption with the purpose of securely transmitting data. The only information-theoretically secure and potentially unbreakable cipher is the one-time pad (OTP) cipher (U.S. Patent 1 310 719). It is simple to implement. Assuming the plaintext is a series of bits, it works as follows. A fresh OTP consisting of random series of bits that is at least as long as the plaintext is generated as a key. -
Data Remanence in Flash Memory Devices
Data Remanence in Flash Memory Devices Sergei Skorobogatov University of Cambridge, Computer Laboratory, 15 JJ Thomson Avenue, Cambridge CB3 0FD, United Kingdom [email protected] Abstract. Data remanence is the residual physical representation of data that has been erased or overwritten. In non-volatile programmable devices, such as UV EPROM, EEPROM or Flash, bits are stored as charge in the floating gate of a transistor. After each erase operation, some of this charge remains. Security protection in microcontrollers and smartcards with EEPROM/Flash memories is based on the assumption that information from the memory disappears completely after erasing. While microcontroller manufacturers successfully hardened already their designs against a range of attacks, they still have a common problem with data remanence in floating-gate transistors. Even after an erase operation, the transistor does not return fully to its initial state, thereby allowing the attacker to distinguish between previously programmed and not programmed transistors, and thus restore information from erased memory. The research in this direction is summarised here and it is shown how much information can be extracted from some microcontrollers after their memory has been ‘erased’. 1 Introduction Data remanence as a problem was first discovered in magnetic media [1,2]. Even if the information is overwritten several times on disks and tapes, it can still be possible to extract the initial data. This led to the development of special methods for reliably removing confidential information from magnetic media. Semiconductor memory in security modules was found to have similar prob- lems with reliable data deletion [3,4]. Data remanence affects not only SRAM, but also memory types like DRAM, UV EPROM, EEPROM and Flash [5].