Construction of Odd-Variable Resilient Boolean Functions with Optimal Degree

Shaojing FU; Chao LI; Kanta MATSUURA; Longjiang QU

doi:10.1587/transfun.E94.A.265

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Special Section on Cryptography and Information Security

Construction of Odd-Variable Resilient Boolean Functions with Optimal Degree

Shaojing FU, Chao LI, Kanta MATSUURA, Longjiang QU

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Keywords: stream cipher, boolean function, resiliency, nonlinearity

JOURNAL RESTRICTED ACCESS

2011 Volume E94.A Issue 1 Pages 265-267

DOI https://doi.org/10.1587/transfun.E94.A.265

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Abstract

Constructing degree-optimized resilient Boolean functions with high nonlinearity is a significant study area in Boolean functions. In this letter, we provide a construction of degree-optimized n-variable (n odd and n ≥ 35) resilient Boolean functions, and it is shown that the resultant functions achieve the currently best known nonlinearity.

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