This paper presents research results of mixed base number systems using a binomial representation of numbers and nonlinear coding techniques by constant weight codes, which are based on a binomial count. Also we propose a technique of non-binary constant weight coding based on a generalized binomial-positional representation, which allows to generalize the known approach to the non-binary case and practically implement computational algorithms for generating non-binary sequences of constant weight. The proposed technique of non-binary constant weight coding can be useful for improving post-quantum code-based cryptographic algorithms.

Non-binary constant weight coding technique

Kuznetsov
;
2020-01-01

Abstract

This paper presents research results of mixed base number systems using a binomial representation of numbers and nonlinear coding techniques by constant weight codes, which are based on a binomial count. Also we propose a technique of non-binary constant weight coding based on a generalized binomial-positional representation, which allows to generalize the known approach to the non-binary case and practically implement computational algorithms for generating non-binary sequences of constant weight. The proposed technique of non-binary constant weight coding can be useful for improving post-quantum code-based cryptographic algorithms.
2020
Inglese
Kuznetsov
CEUR Workshop Proceedings
2740
102
114
13
Binomial count code-based cryptographic algorithms; Constant weight coding; Mixed base number systems
none
Kuznetsov, Oleksandr; Kiian, A.; Kuznetsova, T.; Smirnov, O.
273
info:eu-repo/semantics/conferenceObject
4
4 Contributo in Atti di Convegno (Proceeding)::4.1 Contributo in Atti di convegno
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11389/70691
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