• Title/Summary/Keyword: Feistel Scheme

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On the Optimal Key Size of the Even-Mansour Cipher in the Random Function Oracle Model (랜덤 오라클 모델에서의 Even-Mansour Cipher에 대한 키 길이 최적화 방법)

  • Sung, Jae-Chul
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.17 no.3
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    • pp.35-42
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    • 2007
  • We describe the problem of reducing the key material in the Even-Mansour cipher without security degradation. Even and Mansour proposed a block cipher based on XORing secret key material just prior to and after applying random oracle permutation P such that $C=k_2\bigoplus P(M\bigoplus k_1)$. Recently, Gentry and Ramzan showed that this scheme in the random permutation oracle can be replaced by the four-round Feistel network construction in the random function oracle and also proved that their scheme is super-pseudorandom. In this paper we reduce the key size from 2n to n, which is the optimal key size of Even-Mansour cipher in the random function oracle model and also give almost the same level of security.

An Efficient Hardware Implementation of Block Cipher CLEFIA-128 (블록암호 CLEFIA-128의 효율적인 하드웨어 구현)

  • Bae, Gi-Chur;Shin, Kyung-Wook
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2015.05a
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    • pp.404-406
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    • 2015
  • This paper describes a small-area hardware implementation of the block cipher algorithm CLEFIA-128 which supports for 128-bit master key. A compact structure using single data processing block is adopted, which shares hardware resources for round transformation and the generation of intermediate values for round key scheduling. In addition, data processing and key scheduling blocks are simplified by utilizing a modified GFN(generalized Feistel network) and key scheduling scheme. The CLEFIA-128 crypto-processor is verified by FPGA implementation. It consumes 823 slices of Virtex5 XC5VSX50T device and the estimated throughput is about 105 Mbps with 145 MHz clock frequency.

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ON SECURE BINARY SEQUENCES GENERATED BY A FUNCTION f(x) = x + (g(x)2 ∨ C) mod 2n

  • Rhee, Min Surp
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.4
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    • pp.789-797
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    • 2009
  • Invertible transformations over n-bit words are essential ingredients in many cryptographic constructions. When n is large (e.g., n = 64) such invertible transformations are usually represented as a composition of simpler operations such as linear functions, S-P networks, Feistel structures and T-functions. Among them we will study T-functions which are probably invertible transformation and are very useful in stream ciphers. In this paper we will show that $f(x)=x+(g(x)^2{\vee}C)$ mod $2^n$ is a permutation with a single cycle of length $2^n$ if both the least significant bit and the third significant bit in the constant C are 1, where g(x) is a T-function.

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