首页|A NEW CONSTRUCTION OF ODD-VARIABLE ROTATION SYMMETRIC BOOLEAN FUNCTIONS WITH GOOD CRYPTOGRAPHIC PROPERTIES

A NEW CONSTRUCTION OF ODD-VARIABLE ROTATION SYMMETRIC BOOLEAN FUNCTIONS WITH GOOD CRYPTOGRAPHIC PROPERTIES

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  • Amer Inst Mathematical Sciences-Aims
Rotation symmetric Boolean functions constitute a class of cryp-tographically significant Boolean functions. In this paper, based on the theory of ordered integer partitions, we present a new class of odd-variable rotation symmetric Boolean functions with optimal algebraic immunity by modifying the support of the majority function. Compared with the existing rotation symmetric Boolean functions on odd variables, the newly constructed func-tions have the highest nonlinearity.

Rotation symmetric Boolean functionsinteger partitionWalsh spec-trumalgebraic immunitynonlinearityOPTIMAL ALGEBRAIC IMMUNITYBENT FUNCTIONSATTACKSNUMBER

Wang, Bingxin、Su, Sihong

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Henan Univ

2022

10.3934/amc.2020115

Advances in mathematics of communications

Advances in mathematics of communications

SCI
ISSN：1930-5346
年,卷(期)：2022.16(2)
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