Construction of Highly Nonlinear Resilient Boolean Functions Satisfying Strict Avalanche Criterion

WeiGuo Zhang; GuoZhen Xiao

Paper 2010/579

Construction of Highly Nonlinear Resilient Boolean Functions Satisfying Strict Avalanche Criterion

WeiGuo Zhang and GuoZhen Xiao

Abstract

A method is proposed to construct resilient Boolean functions on $n$ variables ($n$ even) satisfying strict avalanche criterion (SAC) with nonlinearity $>2^{n-1}-2^{n/2}$. A large class of cryptographic Boolean functions which were not known earlier are obtained.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: Boolean functions
Contact author(s): 29225355 @ qq com
History: 2010-11-17: received
Short URL: https://ia.cr/2010/579
License: CC BY

BibTeX

@misc{cryptoeprint:2010/579,
      author = {WeiGuo Zhang and GuoZhen Xiao},
      title = {Construction of Highly Nonlinear Resilient Boolean Functions Satisfying Strict Avalanche Criterion},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/579},
      year = {2010},
      url = {https://eprint.iacr.org/2010/579}
}