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Subject: Computer and information sciences
Subject: Matematics


Year: 2024


Type: Article
Type: PeerReviewed



Title: Linear Codes and Self-Polarity


Author: Bouyukliev, Ilija
Author: Bouyuklieva, Stefka
Author: Dzhumalieva-Stoeva, Mariya
Author: Bikov, Dusan



Abstract: his work studies projective self-dual (PSD) and self-polar linear codes over finite fields with q elements, where q is a power of a prime. The possible parameters for which PSD codes may exist are presented, and many examples are provided. Algorithms for checking whether a q-ary linear code is self-polar are described. Many PSD and self-polar codes over fields with two, three, four, and five elements with two and three nonzero weights are constructed.


Publisher: MDPI


Relation: https://eprints.ugd.edu.mk/35036/



Identifier: oai:eprints.ugd.edu.mk:35036
Identifier: https://eprints.ugd.edu.mk/35036/1/mathematics-12-03555.pdf
Identifier: Bouyukliev, Ilija and Bouyuklieva, Stefka and Dzhumalieva-Stoeva, Mariya and Bikov, Dusan (2024) Linear Codes and Self-Polarity. Mathematics, 12 (22). ISSN 2227-7390
Identifier: 3555



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