Elsevier

Information Processing Letters

Volume 88, Issue 6, 31 December 2003, Pages 299-304
Information Processing Letters

A constructive count of rotation symmetric functions

https://doi.org/10.1016/j.ipl.2003.09.004Get rights and content

Abstract

In this paper we present a constructive detection of minimal monomials in the algebraic normal form of rotation symmetric Boolean functions (immune to circular translation of indices). This helps in constructing rotation symmetric Boolean functions by respecting the rules we present here.

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    In [6], Pieprzyk and Qu used RotS functions as the components in the rounds of a hashing algorithm. RotS functions are also used as the components in the round of hashing algorithms in MD4, MD5 and HAVAL (see [9]). The number of RotS functions is a small fraction of the total number of Boolean functions (see [10]) and the set contains functions with good cryptographic properties.

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