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GCM) for Confidentiality And
NIST Special Publication 800-38D Recommendation for Block DRAFT (April, 2006) Cipher Modes of Operation: Galois/Counter Mode (GCM) for Confidentiality and Authentication Morris Dworkin C O M P U T E R S E C U R I T Y Abstract This Recommendation specifies the Galois/Counter Mode (GCM), an authenticated encryption mode of operation for a symmetric key block cipher. KEY WORDS: authentication; block cipher; cryptography; information security; integrity; message authentication code; mode of operation. i Table of Contents 1 PURPOSE...........................................................................................................................................................1 2 AUTHORITY.....................................................................................................................................................1 3 INTRODUCTION..............................................................................................................................................1 4 DEFINITIONS, ABBREVIATIONS, AND SYMBOLS.................................................................................2 4.1 DEFINITIONS AND ABBREVIATIONS .............................................................................................................2 4.2 SYMBOLS ....................................................................................................................................................4 4.2.1 Variables................................................................................................................................................4 -
Mcoe: a Family of Almost Foolproof On-Line Authenticated Encryption Schemes
McOE: A Family of Almost Foolproof On-Line Authenticated Encryption Schemes Ewan Fleischmann Christian Forler Stefan Lucks Bauhaus-Universit¨atWeimar FSE 2012 Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {1{ Overview Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {2{ 1. Motivation I Goldwasser and Micali (1984): requirement: given 2 ciphertexts, adversary cannot even detect when the same plaintext has been encrypted twice consequence: encryption stateful or probabilitistic (or both) I Rogaway (FSE 2004): formalizes state/randomness by nonces Plaintext Header Key Nonce 01 02 03 ... Ciphertext Authentication Tag Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {3{ Authenticated Encryption I first studied by Katz and Young (FSE 2000) and Bellare and Namprempre (Asiacrypt 2000) I since then many proposed schemes, I nonce based, Plaintext Header Key Nonce I and proven secure assuming a \nonce-respecting01 02 03 ... adversary" I any implementation allowing a nonce reuse is not our problem . but maybe it shouldCiphertext Authentication Tag Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {4{ Nonce Reuse in Practice I IEEE 802.11 [Borisov, Goldberg, Wagner 2001] I PS3 [Hotz 2010] I WinZip Encryption [Kohno 2004] I RC4 in MS Word and Excel [Wu 2005] I ... application programmer other issues: mistakes: I restoring a file from a backup I cloning the virtual machine the application runs on I ... Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {5{ Nonce Reuse { what to Expect? our reasonable (?) expectations I some plaintext information leaks: I identical plaintexts I common prefixes I ect. I but not too much damage: 1. authentication not affected 2. -
Recommendation for Block Cipher Modes of Operation Methods
NIST Special Publication 800-38A Recommendation for Block 2001 Edition Cipher Modes of Operation Methods and Techniques Morris Dworkin C O M P U T E R S E C U R I T Y ii C O M P U T E R S E C U R I T Y Computer Security Division Information Technology Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899-8930 December 2001 U.S. Department of Commerce Donald L. Evans, Secretary Technology Administration Phillip J. Bond, Under Secretary of Commerce for Technology National Institute of Standards and Technology Arden L. Bement, Jr., Director iii Reports on Information Security Technology The Information Technology Laboratory (ITL) at the National Institute of Standards and Technology (NIST) promotes the U.S. economy and public welfare by providing technical leadership for the Nation’s measurement and standards infrastructure. ITL develops tests, test methods, reference data, proof of concept implementations, and technical analyses to advance the development and productive use of information technology. ITL’s responsibilities include the development of technical, physical, administrative, and management standards and guidelines for the cost-effective security and privacy of sensitive unclassified information in Federal computer systems. This Special Publication 800-series reports on ITL’s research, guidance, and outreach efforts in computer security, and its collaborative activities with industry, government, and academic organizations. Certain commercial entities, equipment, or materials may be identified in this document in order to describe an experimental procedure or concept adequately. Such identification is not intended to imply recommendation or endorsement by the National Institute of Standards and Technology, nor is it intended to imply that the entities, materials, or equipment are necessarily the best available for the purpose. -
Block Ciphers
BLOCK CIPHERS MTH 440 Block ciphers • Plaintext is divided into blocks of a given length and turned into output ciphertext blocks of the same length • Suppose you had a block cipher, E(x,k) where the input plaintext blocks,x, were of size 5-bits and a 4-bit key, k. • PT = 10100010101100101 (17 bits), “Pad” the PT so that its length is a multiple of 5 (we will just pad with 0’s – it doesn’t really matter) • PT = 10100010101100101000 • Break the PT into blocks of 5-bits each (x=x1x2x3x4) where each xi is 5 bits) • x1=10100, x2= 01010, x3=11001, x4=01000 • Ciphertext: c1c2c3c4 where • c1=E(x1,k1), c2=E(x2,k2), c3=E(x3,k3), c4=E(x4,k4) • (when I write the blocks next to each other I just mean concatentate them (not multiply) – we’ll do this instead of using the || notation when it is not confusing) • Note the keys might all be the same or all different What do the E’s look like? • If y = E(x,k) then we’ll assume that we can decipher to a unique output so there is some function, we’ll call it D, so that x = D(y,k) • We might define our cipher to be repeated applications of some function E either with the same or different keys, we call each of these applications “round” • For example we might have a “3 round” cipher: y Fk x E((() E E x, k1 , k 2)), k 3 • We would then decipher via 1 x Fk (,, y) D((() D D y, k3 k 2) k 1) S-boxes (Substitution boxes) • Sometimes the “functions” used in the ciphers are just defined by a look up table that are often referred to “S- boxes” •x1 x 2 x 3 S(x 1 x 2 x 3 ) Define a 4-bit function with a 3-bit key 000 -
Elastic Block Ciphers: the Basic Design
Elastic Block Ciphers: The Basic Design ∗ † Debra Cook Angelos Keromytis Moti Yung Bell Labs Columbia University RSA Labs, EMC Corp, and Murray Hill, NJ, USA Dept. of Computer Science Columbia University [email protected] New York, NY, USA Dept. of Computer Science [email protected] [email protected] ABSTRACT We introduce the concept of an elastic block cipher, which We introduce the concept of an elastic block cipher, which allows us to ”stretch” the supported block size of a block refers to stretching the supported block size of a block ci- cipher up to a length double the original block size, while pher to any length up to twice the original block size while increasing the computational workload proportionally to the incurring a computational workload that is proportional to block size. This, together with modes of operation, permits the block size. We define a method for converting any ex- block sizes to be set based on an application’s requirements, isting block cipher into an elastic block cipher and mention allowing, for example, a non-traditional block size to be used our analysis of the construction. for all blocks, or a traditional block size to be used for all but the last block in a given mode of operation. We pro- Categories and Subject Descriptors pose a general method for creating an elastic block cipher E.0 [General]: Data Encryption from an existing block cipher. Our intent is not to design a new ad-hoc cipher, but to systematically build upon existing General Terms block ciphers. Our method consists of a network structure block ciphers, algorithms, encryption that uses the round function from an existing block cipher, allowing us to treat the round function of the original ci- Keywords pher as a black box and reuse its properties. -
Block Ciphers II
Block Ciphers II Martin Stanek Department of Computer Science Comenius University [email protected] Cryptology 1 (2021/22) Block Ciphers 1 / 26 , Content Confidentiality modes – ECB, CBC, OFB, CFB, CTR Padding Padding oracle attack Ciphertext stealing Authenticated encryption – CCM, GCM Other constructions Format-preserving encryption Encryption of block devices Theoretical security of block ciphers Block Ciphers 2 / 26 , Modes of operation I plaintext usually much longer than the block length I modes of operation can provide: I confidentiality (and not authenticity) ...“traditional” modes I authenticity (and not confidentiality) I confidentiality & authenticity (authenticated encryption) I confidentiality for block-oriented storage devices (e.g. disks) I key wrapping I format-preserving encryption, ... I varying requirements (speed, security properties, ability to parallelize, availability of RNG, etc.) ) different modes Block Ciphers 3 / 26 , Confidentiality modes I the most important confidentiality modes: ECB, CBC, OFB, CFB, CTR I e.g. see NIST SP 800-38A: Recommendation for Block Cipher Modes of Operation: Methods and Techniques I None of these modes provide protection against accidental or adversarial modifications of ciphertext! I however, the effect of ciphertext modification on resulting plaintext varies among modes Block Ciphers 4 / 26 , ECB (Electronic Codebook) P1 P2 P1 P2 Ek Ek Dk Dk C1 C2 C1 C2 encrypt: Ci = Ek (Pi) decrypt: Pi = Dk (Ci) I the simplest mode I data leaks: Ci = Cj , Pi = Pj I easy to rearrange the ciphertexts blocks (permute, duplicate, ...) I encryption and decryption trivially parallelizable I easy to perform a seek (random access) I bit changes do not propagate (single block affected) Block Ciphers 5 / 26 , CBC (Cipher Block Chaining) 1 P1 P2 P1 P2 IV IV (C0) (C0) Ek Ek Dk Dk C1 C2 C1 C2 encrypt: Ci = Ek (Pi Ci 1) decrypt: Pi = Dk (Ci) Ci 1 ⊕ − ⊕ − I IV (initialization vector) – secrecy not required, usually appended as C0 I popular mode (e.g. -
Chapter 4 Symmetric Encryption
Chapter 4 Symmetric Encryption The symmetric setting considers two parties who share a key and will use this key to imbue communicated data with various security attributes. The main security goals are privacy and authenticity of the communicated data. The present chapter looks at privacy, Chapter ?? looks at authenticity, and Chapter ?? looks at providing both together. Chapters ?? and ?? describe tools we shall use here. 4.1 Symmetric encryption schemes The primitive we will consider is called an encryption scheme. Such a scheme speci¯es an encryption algorithm, which tells the sender how to process the plaintext using the key, thereby producing the ciphertext that is actually transmitted. An encryption scheme also speci¯es a decryption algorithm, which tells the receiver how to retrieve the original plaintext from the transmission while possibly performing some veri¯cation, too. Finally, there is a key-generation algorithm, which produces a key that the parties need to share. The formal description follows. De¯nition 4.1 A symmetric encryption scheme SE = (K; E; D) consists of three algorithms, as follows: ² The randomized key generation algorithm K returns a string K. We let Keys(SE) denote the set of all strings that have non-zero probability of be- ing output by K. The members of this set are called keys. We write K Ã$ K for the operation of executing K and letting K denote the key returned. ² The encryption algorithm E takes a key K 2 Keys(SE) and a plaintext M 2 f0; 1g¤ to return a ciphertext C 2 f0; 1g¤ [ f?g. -
Public Evaluation Report UEA2/UIA2
ETSI/SAGE Version: 2.0 Technical report Date: 9th September, 2011 Specification of the 3GPP Confidentiality and Integrity Algorithms 128-EEA3 & 128-EIA3. Document 4: Design and Evaluation Report LTE Confidentiality and Integrity Algorithms 128-EEA3 & 128-EIA3. page 1 of 43 Document 4: Design and Evaluation report. Version 2.0 Document History 0.1 20th June 2010 First draft of main technical text 1.0 11th August 2010 First public release 1.1 11th August 2010 A few typos corrected and text improved 1.2 4th January 2011 A modification of ZUC and 128-EIA3 and text improved 1.3 18th January 2011 Further text improvements including better reference to different historic versions of the algorithms 1.4 1st July 2011 Add a new section on timing attacks 2.0 9th September 2011 Final deliverable LTE Confidentiality and Integrity Algorithms 128-EEA3 & 128-EIA3. page 2 of 43 Document 4: Design and Evaluation report. Version 2.0 Reference Keywords 3GPP, security, SAGE, algorithm ETSI Secretariat Postal address F-06921 Sophia Antipolis Cedex - FRANCE Office address 650 Route des Lucioles - Sophia Antipolis Valbonne - FRANCE Tel.: +33 4 92 94 42 00 Fax: +33 4 93 65 47 16 Siret N° 348 623 562 00017 - NAF 742 C Association à but non lucratif enregistrée à la Sous-Préfecture de Grasse (06) N° 7803/88 X.400 c= fr; a=atlas; p=etsi; s=secretariat Internet [email protected] http://www.etsi.fr Copyright Notification No part may be reproduced except as authorized by written permission. The copyright and the foregoing restriction extend to reproduction in all media. -
A New Stream Cipher HC-256
A New Stream Cipher HC-256 Hongjun Wu Institute for Infocomm Research 21 Heng Mui Keng Terrace, Singapore 119613 [email protected] Abstract. Stream cipher HC-256 is proposed in this paper. It generates keystream from a 256-bit secret key and a 256-bit initialization vector. HC-256 consists of two secret tables, each one with 1024 32-bit elements. The two tables are used as S-Box alternatively. At each step one element of a table is updated and one 32-bit output is generated. The encryption speed of the C implementation of HC-256 is about 1.9 bit per clock cycle (4.2 clock cycle per byte) on the Intel Pentium 4 processor. 1 Introduction Stream ciphers are used for shared-key encryption. The modern software efficient stream ciphers can run 4-to-5 times faster than block ciphers. However, very few efficient and secure stream ciphers have been published. Even the most widely used stream cipher RC4 [25] has several weaknesses [14, 16, 22, 9, 10, 17, 21]. In the recent NESSIE project all the six stream cipher submissions cannot meet the stringent security requirements [23]. In this paper we aim to design a very simple, secure, software-efficient and freely-available stream cipher. HC-256 is the stream cipher we proposed in this paper. It consists of two secret tables, each one with 1024 32-bit elements. At each step we update one element of a table with non-linear feedback function. Every 2048 steps all the elements of the two tables are updated. -
The Security of Ciphertext Stealing
The Security of Ciphertext Stealing Phillip Rogaway1, Mark Wooding2, and Haibin Zhang1 1 Dept. of Computer Science, University of California, Davis, USA 2 Thales e-Security Ltd, UK Abstract. We prove the security of CBC encryption with ciphertext stealing. Our results cover all versions of ciphertext stealing recently recommended by NIST. The complexity assumption is that the under- lying blockcipher is a good PRP, and the security notion achieved is the strongest one commonly considered for chosen-plaintext attacks, indis- tinguishability from random bits (ind$-security). We go on to generalize these results to show that, when intermediate outputs are slightly de- layed, one achieves ind$-security in the sense of an online encryption scheme, a notion we formalize that focuses on what is delivered across an online API, generalizing prior notions of blockwise-adaptive attacks. Finally, we pair our positive results with the observation that the ver- sion of ciphertext stealing described in Meyer and Matyas’s well-known book (1982) is not secure. Keywords: blockwise-adaptive attacks, CBC, ciphertext stealing, cryp- tographic standards, modes of operation, provable security. 1 Introduction Ciphertext stealing. Many blockcipher modes require the input be a se- quence of complete blocks, each having a number of bits that is the blockcipher’s blocksize. One approach for dealing with inputs not of this form is ciphertext stealing. The classical combination is CBC encryption and ciphertext stealing, a mode going back to at least 1982 [14]. In 2010, NIST put out an addendum [8] to Special Publication 800-38A [7], the document that had defined blockcipher modes ECB, CBC, CFB, OFB, and CTR. -
Data Security
Block ciphers BMEVITMAV52 Information and Network Security [email protected] History of cryptography Modern cryptography • Beginning with 1949 – Claude Shannon: Communication Theory of Secrecy Systems • Solid theoretical basis for cryptography and for cryptanalysis – No more alphabets, but ‘bits’ and ‘bytes’ • 1975 DES – Data Encryption Standard • 1976 Diffie-Hellman key exchange • 1977 RSA 2019/20-1 Information and Network Security 2 Block ciphers • Definition – Function that transfers n-bit plaintext block to n-bit ciphertext block (n is the blocklength) – The function is parameterized by a k-bit key – One-to-one mapping (invertible) • Symmetric key block ciphers – E(P,K)=C, D(C,K)=P • Asymmetric key block ciphers – E(P,K1)=C, D(C,K2)=P 2019/20-1 Information and Network Security 3 Well known symmetric block ciphers • 1976: USA standard cipher: DES (Data Encryption Standard) – 64 bit block length, 56 bit key length – As of today it is insecure and slow • 3DES: 3x DES cipher in a row – 2x not enough, 2 keys are already enough – 64 bit block length, 112 bit key length – Satisfactory security, but slow • 2001: AES, the new cipher standard (Advanced Encryption Standard) – 128 bit block length, 128-192-256 bit key length – State of the art security and speed • Other, less known ciphers – IDEA, Twofish, Blowfish, RC5 2019/20-1 Information and Network Security 4 Requirements to modern ciphers • Avalanche effect – Changing one bit in the input changes half of the output bits • Completeness – Each ciphertext bit is a complex function of -
An Efficient VHDL Description and Hardware Implementation of The
An Efficient VHDL Description and Hardware Implementation of the Triple DES Algorithm A thesis submitted to the Graduate School of the University of Cincinnati In partial fulfillment of the requirements for the degree of Master of Science In the Department of Electrical and Computer Engineering Of the College of Engineering and Applied Sciences June 2014 By Lathika SriDatha Namburi B.Tech, Electronics and Communications Engineering, Jawaharlal Nehru Technological University, Hyderabad, India, 2011 Thesis Advisor and Committee Chair: Dr. Carla Purdy ABSTRACT Data transfer is becoming more and more essential these days with applications ranging from everyday social networking to important banking transactions. The data that is being sent or received shouldn’t be in its original form but must be coded to avoid the risk of eavesdropping. A number of algorithms to encrypt and decrypt the data are available depending on the level of security to be achieved. Many of these algorithms require special hardware which makes them expensive for applications which require a low to medium level of data security. FPGAs are a cost effective way to implement such algorithms. We briefly survey several encryption/decryption algorithms and then focus on one of these, the Triple DES. This algorithm is currently used in the electronic payment industry as well as in applications such as Microsoft OneNote, Microsoft Outlook and Microsoft system center configuration manager to password protect user content and data. We implement the algorithm in a Hardware Description Language, specifically VHDL and deploy it on an Altera DE1 board which uses a NIOS II soft core processor. The algorithm takes input encoded using a software based Huffman encoding to reduce its redundancy and compress the data.