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  Designing s-boxes for ciphers resistant to differential cryptanalysis (1993) [17 citations — 1 self]

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by Carlisle M. Adams, Stafford E. Tavares
Proceedings of the 3rd Symposium on State and Progress of Research in Cryptography
http://saturn.ee.queensu.ca:8000/SPN/adams_paper2.ps
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Abstract:

Abstract- This paper examines recent work in the area of bent-function-based substitution boxes in order to refine the relationship between s-box construction and immunity to the differential cryptanalysis attack described by Biham and Shamir. It is concluded that m n s-boxes, m n , which are partially bent-function-based are the most appropriate choice for private-key cryptosystems constructed as substitution-permutation networks (SPNs) 1. Since s-boxes of this dimension and with this property have received little attention in the open literature, this paper provides a description of their construction and shows how they can be incorporated in a design procedure for a family of SPN cryptosystems with desirable cryptographic properties. 1.

Citations

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313 Differential Cryptanalysis of DES-like Cryptosystems – Biham, Shamir - 1990
100 Cryptography and computer privacy – Feistel
76 On the design of S-boxes, in – Webster, Tavares - 1986
60 Perfect non-linear s-boxes – Nyberg - 1991
52 Propagation characteristics of Boolean functions – Preneel, Leekwijck, et al. - 1991
44 Structured design of substitution-permutation encryption networks – Kam, Davida - 1979
27 L.R.Knudsen, “Provable Security Against a Differential Attack – Nyberg - 1995
25 Generating and counting binary bent sequences – Adams, Tavares - 1990
18 An Expanded Set of S-Box Design Criteria Based on Information Theory and Its Relation to Differential-like Attacks – Dawson, Tavares - 1991
17 The use of bent sequences to achieve higherorder strict avalanche criterion – Adams, Tavares - 1990
17 Analysis and synthesis of bent sequences – Yarlagadda, Hershey - 1989
16 A Formal and Practical Design Procedure for Substitution-Permutation Network Cryptosystems – Adams - 1990
16 Plaintext/ciphertext bit dependencies in cryptographic system – Webster - 1985
11 On Immunity against Biham and Shamir's "Differential Cryptanalysis – Adams - 1992
10 On the design of SP networks from an information theoretic point of view – Sivabalan, Tavares, et al. - 1993
9 Constructions of bent functions and difference sets – Nyberg - 1991
9 An analysis of product ciphers based on the properties of Boolean functions – O’Connor - 1992
3 Analysis of a Feistel-Like Cipher Weakened by Having No Rotating Key – Grossman, Tuckerman - 1977
1 Differential Cryptanalysis of Iterated Cryptosystems – Biham - 1992
1 On "Bent – Rothaus - 1976