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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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On a decoding algorithm of mΘ Reed-Muller codes

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pp. 341–358Vol. 26Issue 2March 2022DOI: 10.1080/09720529.2021.1920189 Crossmark XML
Received:
01 Sep 2020
Accepted:
05 Jan 2021
Published Online:
14 Nov 2021
Article type:
A
Language:
EN
Article no.:
JDMSC-1308
Pages:
341–358

Abstract

In this paper, we propose an algorithm for decoding for mΘ Reed-Muller codes. Thus, we present first the notion of mΘ spectrum of Reed-Muller codes as in [2]; and we define secondly the notion of mΘ extension of Reed-Muller codes.

Keywords

Subject Classifications

94B6094B75

References

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