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Abstract: For any integers n, m, 2n ? m ? n we construct a set of boolean functions on Vm , say ff 1 (z); : : : ; fn (z)g, which has the following important cryptographic properties: (i) any nonzero linear combination of the functions is balanced; (ii) the nonlinearity of any nonzero linear combination of the functions is at least m\Gamma1 (iii) any nonzero linear combination of the functions satisfies the strict avalanche criterion; (iv) the algebraic degree of any nonzero linear combination of... (Update)
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BibTeX entry: (Update)
@article{ seberry94cryptographic,
author = "Seberry and Zhang and Zheng",
title = "Cryptographic Boolean Functions via Group Hadamard Matrices",
journal = "AJC: Australasian Journal of Combinatorics",
volume = "10",
year = "1994",
url = "citeseer.ist.psu.edu/647789.html" }
Citations (may not include all citations):67 Nonlinearity criteria for cryptographic functions (context) - Meier, Staffelbach - 1990
32 Systematic generation of cryptographically robust S-boxes - Seberry, Zhang et al. - 1993
27 Generating and counting binary bent sequences (context) - Adams, Tavares - 1990
21 Relationships among nonlinearity criteria - Seberry, Zhang et al. - 1995
20 Constructing large cryptographically strong S-boxes (context) - Detombe, Tavares - 1993
19 The use of bent sequences to achieve higher-order strict ava.. - Adams, Tavares - 1990
13 Highly nonlinear 0-1 balanced functions satisfying strict av.. (context) - Seberry, Zhang et al. - 1993
12 Counting functions satisfying a higher order strict avalanch.. (context) - Lloyd - 1990
10 box design criteria based on information theory and its rela.. (context) - Dawson, Tavares et al. - 1991
9 Generalized Hadamard matrices (context) - Butson - 1962
9 volume 292 of Lecture Notes in Mathematics (context) - Wallis, Street et al. - 1972
7 Relations among generalized Hadamard matrices (context) - Butson - 1963
6 Plaintextciphertext bit dependencie cryptographic system (context) - ciphertext, in et al. - 1985
4 the designs of SP networks from an information theoretic poi.. (context) - Tavares, Sivabalan et al. - 1993
3 The strict avalanche criterion: Special properties of boolea.. (context) - Forr'e - 1989
2 Generalised Hadamard matrices whose rows and columns form a .. (context) - de Launey - 1983
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