Vigenère cipher

Summary

The Vigenère cipher (viʒnɛːʁ) is a method of encrypting alphabetic text where each letter of the plaintext is encoded with a different Caesar cipher, whose increment is determined by the corresponding letter of another text, the key. For example, if the plaintext is attacking tonight and the key is OCULORHINOLARINGOLOGY, then *the first letter a of the plaintext is shifted by 14 positions in the alphabet (because the first letter O of the key is the 14th letter of the alphabet, counting from 0), yielding o; *the second letter t is shifted by 2 (because the second letter C of the key means 2) yielding v; *the third letter t is shifted by 20 (U) yielding n, with wrap-around; and so on; yielding the message ovnlqbpvt eoeqtnh. If the recipient of the message knows the key, they can recover the plaintext by reversing this process. The Vigenère cipher is therefore a special case of a polyalphabetic substitution. First described by Giovan Battista Bellaso in 1553, the cipher is easy to

Official source

https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher

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This course introduces the basics of cryptography. We review several types of cryptographic primitives, when it is safe to use them and how to select the appropriate security parameters. We detail how they work and sketch how they can be implemented.

This course provides an overview of information security and privacy topics. It introduces students to the knowledge and tools they will need to deal with the security/privacy challenges they are likely to encounter in today's Big Data world. The tools are illustrated with relevant applications.

Information-theoretic methods and their application to secrecy & privacy. Perfect information-theoretic secrecy. Randomness extraction & privacy amplification. Secret key generation from common randomness. Measures of information leakage incl. differential privacy, perfect privacy, & mutual info.

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Linear (Hull) and Algebraic Cryptanalysis of the Block Cipher PRESENT

Jorge Nakahara, Pouyan Sepehrdad

The contributions of this paper include the first linear hull and a revisit of the algebraic cryptanalysis of reduced-round variants of the block cipher PRESENT, under known-plaintext and ciphertext- only settings. We introduce a pure algebraic cryptanalysis of 5-round PRESENT and in one of our attacks we recover half of the bits of the key in less than three minutes using an ordinary desktop PC. The PRESENT block cipher is a design by Bogdanov et al., announced in CHES 2007 and aimed at RFID tags and sensor networks. For our linear attacks, we can attack 25-round PRESENT with the whole code book, 296.68 25- round PRESENT encryptions, 240 blocks of memory and 0.61 success rate. Further we can extend the linear attack to 26-round with small success rate. As a further contribution of this paper we computed linear hulls in practice for the original PRESENT cipher, which corroborated and even improved on the predicted bias (and the corresponding attack complexities) of conventional linear relations based on a single linear trail.

Springer Berlin / Heidelberg2009

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Iterated attacks are comprised of iterating adversaries who can make d plaintext queries, in each iteration to compute a bit, and are trying to distinguish between a random cipher C and the perfect cipher C* based on all bits. Vaudenay showed that a 2d-decorrelated cipher resists to iterated attacks of order d. when iterations have almost no common queries. Then, he first asked what the necessary conditions are for a cipher to resist a non-adaptive iterated attack of order d. I.e., whether decorrelation of order 2d-1 could be sufficient. Secondly, he speculated that repeating a plaintext query in different iterations does not provide any advantage to a non-adaptive distinguisher. We close here these two long-standing open problems negatively. For those questions, we provide two counter-intuitive examples. We also deal with adaptive iterated adversaries who can make both plaintext and ciphertext queries in which the future queries are dependent on the past queries. We show that decorrelation of order 2d protects against these attacks of order d. We also study the generalization of these distinguishers for iterations making non-binary outcomes. Finally, we measure the resistance against two well-known statistical distinguishers, namely, differential-linear and boomerang distinguishers and show that 4-decorrelation degree protects against these attacks.

2014

3D: A Three-Dimensional Block Cipher

Jorge Nakahara

The main contribution of this paper is a new iterated secret- key block cipher called 3D, inspired by the AES cipher. The 3D cipher has an SPN design, operates on 512-bit blocks, uses 512-bit keys, it- erates 22 rounds, and employs a 3-dimensional state, instead of the 2- dimensional matrix of the AES. The main innovation of 3D includes the multi-dimensional state, generalizing the design of Rijndael, and allow- ing block sizes beyond the 256-bit boundary. This features motivates the use of 3D as a building block for compression functions in hash functions, MAC and stream cipher constructions requiring large internal states. We explain the design decisions and discuss the security of 3D under several attack settings.

2008