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.
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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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