On a method of synthesis of correlation-immune Boolean functions-Reference-Cited by-同舟云学术

On a method of synthesis of correlation-immune Boolean functions

Published:2020-04-28 Issue:2 Volume:30 Page:79-91
ISSN:1569-3929
Container-title:Discrete Mathematics and Applications
language:
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Author:

Karelina Ekaterina K.¹

Affiliation:

1. Lomonosov Moscow State University, Moscow, Russia

Abstract

AbstractAn efficient recursive method for synthesis of correlation-immune Boolean functions is proposed. At the first stage, this method uses minimal correlation-immune functions. A classification of 6-variable minimal correlation-immune functions under the Jevons group is put forward. New results on minimal correlation-immune functions are given.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://www.degruyter.com/document/doi/10.1515/dma-2020-0008/pdf

Reference22 articles.

1. “A classification of the cosets of the Reed-Muller code R(1,6)”;Math. Comput.,1991

2. “Decrypting a class of stream cipher using ciphertext only”;IEEE Trans. on Computers,1985

3. “On some algebraic and combinatorial properties of correlation-immune Boolean functions”;DiscreteMath. Appl.,2010

4. “On construction of correlation-immune functions via minimal functions”;Matematicheskie voprosy kriptografii,2018

5. “A classification of the cosets of the Reed-Muller code R(1,6)”;Math. Comput.,1991

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