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Abstract: Nonlinear characteristics of (Boolean) functions is one of the important issues both in the design and cryptanalysis of (private key) ciphers or encryption algorithms. This paper studies nonlinear properties of functions from three different but closely related perspectives: maximal odd weighting subspaces, restrictions to cosets, and hypergraphs, all associated with a function. Main contributions of this work include (1) by using a duality property of a function, we have obtained several... (Update)
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BibTeX entry: (Update)
@misc{ zheng-restriction,
author = "Yuliang Zheng and Xian-Mo Zhang and Hideki Imai",
title = "Restriction, Terms and Nonlinearity of Boolean Functions",
url = "citeseer.ist.psu.edu/article/zheng98restriction.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
241 Communications Theory of Secrecy System (context) - Shannon - 1949
206 Federal Information Processing Standards Publication FIPS PU.. (context) - Standards, Standard - 1977
88 Journal of Combinatorial Theory (context) - Rothaus, Bent - 1976
67 Nonlinearity Criteria For Cryptographic Functions (context) - Meier, Staffelbach - 1990
40 Handbook of Combinatorics (context) - Graham, Grotschel et al. - 1995
39 Nonlinearity and Propagation Characteristics of Balanced Boo.. - Seberry, Zhang et al. - 1995
35 A Survey of Bent Functions (context) - Dillon - 1972
12 Two New Classes of Bent Functions (context) - Carlet - 1994
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