CONNECTIONS BETWEEN QUATERNARY AND BOOLEAN BENT FUNCTIONS

CONNECTIONS BETWEEN QUATERNARY AND BOOLEAN BENT FUNCTIONS Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2021, Volume: 18, Number: 1, Pages: 561-578 Pages count : 18 DOI: 10.33048/semi.2021.18.041

Tags

bent functions; Boolean functions; generalized Boolean functions; Gray map; linear cryptanalysis; nonlinearity; quaternary functions; semi bent functions; ℤ4-linear codes

Authors

Tokareva N.N. ¹ , Shaporenko A.S. ² , Solé P. ³

Affiliations

1	Sobolev Institute of Mathematics, 4, KOPTYUGA AVE., Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russian Federation
3	I2M, CNRS, Aix-Marseille University, Centrale Marseille, Marseilles, France

Boolean bent functions were introduced by Rothaus (1976) as combinatorial objects related to difference sets, and have since enjoyed a great popularity in symmetric cryptography and low correlation sequence design. In this paper connections between classical Boolean bent functions, generalized Boolean bent functions and quaternary bent functions are studied. We also study Gray images of bent functions and notions of generalized nonlinearity for functions that are relevant to generalized linear cryptanalysis.

Tokareva N.N. , Shaporenko A.S. , Solé P.
CONNECTIONS BETWEEN QUATERNARY AND BOOLEAN BENT FUNCTIONS
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N1. P.561-578. DOI: 10.33048/semi.2021.18.041 WOS Scopus OpenAlex

Web of science:	WOS:000674347300001
Scopus:	2-s2.0-85108840568
OpenAlex:	W3199415188

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