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Relating Differential Distribution Tables to Other Properties of Substitution Boxes (1999)  (Make Corrections)  (2 citations)
Xian-Mo Zhang, et al.
Designs, Codes and Cryptography



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Abstract: Due to the success of differential and linear attacks on a large number of encryption algorithms, it is important to investigate relationships among various cryptographic, including differential and linear, characteristics of an S-box (substitution box). After discussing a precise relationship among three tables, namely the difference, auto-correlation and correlation immunity distribution tables, of an S-box, we develop a number of results on various properties of S-boxes. More specifically,... (Update)

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BibTeX entry:   (Update)

X. M. Zhang and Y. Zheng. Relating differential distribution tables to other properties of substitution boxes. to appear, 1998. http://citeseer.ist.psu.edu/zhang99relating.html   More

@article{ zhang00relating,
    author = "Xian-Mo Zhang and Yuliang Zheng and Hideki Imai",
    title = "Relating Differential Distribution Tables to Other Properties of of Substitution Boxes",
    journal = "Designs, Codes and Cryptography",
    volume = "19",
    number = "1",
    pages = "45-63",
    year = "2000",
    url = "citeseer.ist.psu.edu/zhang99relating.html" }
Citations (may not include all citations):
860   The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1978
288   Linear cryptanalysis method for DES cipher (context) - Matsui - 1994
161   Differential Cryptanalysis of the Data Encryption Standard (context) - Biham, Shamir - 1993
155   Differential cryptanalysis of DES-like cryptosystems - Biham, Shamir - 1991
97   Encyclopedia of Mathematics and Its Applications (context) - Lidl, Niederreiter - 1983
67   Nonlinearity criteria for cryptographic functions (context) - Meier, Staffelbach - 1990
57   Propagation characteristics of boolean functions (context) - Preneel, Leekwijck et al. - 1991
52   The interpolation attack on block ciphers - Jakobsen, Knudsen - 1997
50   Perfect nonlinear S-boxes (context) - Nyberg - 1991
46   Differentially uniform mappings for cryptography (context) - Nyberg - 1994
43   the construction of highly nonlinear permutations (context) - Nyberg - 1993
39   Nonlinearity and propagation characteristics of balanced boo.. - Seberry, Zhang et al. - 1995
36   Improving resistance to differential cryptanalysis and the r.. - Brown, Kwan et al. - 1993
35   A survey of bent functions (context) - Dillon - 1972
35   On constructions and nonlinearity of correlation immune func.. - Seberry, Zhang et al. - 1994
32   Systematic generation of cryptographically robust S-boxes - Seberry, Zhang et al. - 1993
27   Generating and counting binary bent sequences (context) - Adams, Tavares - 1990
26   the distribution of characteristics in bijective mappings - O'Connor - 1994
24   Analysis and synthesis of bent sequences (context) - Yarlagadda, Hershey - 1989
18   differential cryptanalysis (context) - Adams - 1992
11   Journal of Combinatorial Theory Ser (context) - Rothaus - 1976
8   Differential And Integral Calculus (context) - Erwe - 1967
5   Correlation matrices - Daemen, Govaerts et al. - 1994
4   Auto-correlations and new bounds on the nonlinearity of bool.. - Zhang, Zheng - 1996
4   presented at the rump session of Eurocrypt (context) - Shimoyama, Moriai et al. - 1997
3   Some results on regular mappings (context) - Tapia-Recillas, Daltabuit et al. - 1996
3   Links between differential and linear cryptanlysis (context) - Chabaud, Vaudenay - 1995

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Comments on "Generating and Counting Binary Bent Sequences" - Carlet, Seberry, Zhang (1994)   (Correct)

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