Standard

Connections between quaternary and Boolean bent functions. / Tokareva, N. N.; Shaporenko, A. S.; Solé, P.

In: Siberian Electronic Mathematical Reports, Vol. 18, No. 1, 20, 2021, p. 561-578.

Research output: Contribution to journal › Article › peer-review

Harvard

Tokareva, NN, Shaporenko, AS & Solé, P 2021, 'Connections between quaternary and Boolean bent functions', Siberian Electronic Mathematical Reports, vol. 18, no. 1, 20, pp. 561-578. https://doi.org/10.33048/semi.2021.18.041

APA

Tokareva, N. N., Shaporenko, A. S., & Solé, P. (2021). Connections between quaternary and Boolean bent functions. Siberian Electronic Mathematical Reports, 18(1), 561-578. [20]. https://doi.org/10.33048/semi.2021.18.041

Vancouver

Tokareva NN, Shaporenko AS, Solé P. Connections between quaternary and Boolean bent functions. Siberian Electronic Mathematical Reports. 2021;18(1):561-578. 20. doi: 10.33048/semi.2021.18.041

Author

Tokareva, N. N. ; Shaporenko, A. S. ; Solé, P. / Connections between quaternary and Boolean bent functions. In: Siberian Electronic Mathematical Reports. 2021 ; Vol. 18, No. 1. pp. 561-578.

BibTeX

@article{4cc68b95ed7d480eb0aaedb28be44699,
title = "Connections between quaternary and Boolean bent functions",
abstract = "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.",
keywords = "bent functions, Boolean functions, generalized Boolean functions, Gray map, linear cryptanalysis, nonlinearity, quaternary functions, semi bent functions, ℤ-linear codes",
author = "Tokareva, {N. N.} and Shaporenko, {A. S.} and P. Sol{\'e}",
note = "Funding Information: Tokareva, N.N., Shaporenko, A.S., Sole, P., Connections between quaternary and Boolean bent functions. {\textcopyright} 2021 Tokareva N.N., Shaporenko A.S., Sole P. The work of the first and the second authors was supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation and Laboratory of Cryptography JetBrains Research. Received October, 5, 2020, published May, 26, 2021. Publisher Copyright: {\textcopyright} 2021 Tokareva N.N., Shaporenko A.S., Sole P. All Rights Reserved.",
year = "2021",
doi = "10.33048/semi.2021.18.041",
language = "English",
volume = "18",
pages = "561--578",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - Connections between quaternary and Boolean bent functions

AU - Tokareva, N. N.

AU - Shaporenko, A. S.

AU - Solé, P.

N1 - Funding Information: Tokareva, N.N., Shaporenko, A.S., Sole, P., Connections between quaternary and Boolean bent functions. © 2021 Tokareva N.N., Shaporenko A.S., Sole P. The work of the first and the second authors was supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation and Laboratory of Cryptography JetBrains Research. Received October, 5, 2020, published May, 26, 2021. Publisher Copyright: © 2021 Tokareva N.N., Shaporenko A.S., Sole P. All Rights Reserved.

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - bent functions

KW - Boolean functions

KW - generalized Boolean functions

KW - Gray map

KW - linear cryptanalysis

KW - nonlinearity

KW - quaternary functions

KW - semi bent functions

KW - ℤ-linear codes

UR - http://www.scopus.com/inward/record.url?scp=85108840568&partnerID=8YFLogxK

U2 - 10.33048/semi.2021.18.041

DO - 10.33048/semi.2021.18.041

M3 - Article

AN - SCOPUS:85108840568

VL - 18

SP - 561

EP - 578

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 1

M1 - 20

ER -

ID: 34097463