Duality of codes over a certain ring of order 2m

Jupiter Pilongo; Rowena Alma Betty; Lucky Galvez

doi:10.32188/iar.2.0_27

Proceedings of the International Conference on ICT Application Research

DOI https://doi.org/10.32188/iar.2.0_27

会議情報

主催: International ICT Application Research Society

会議名: The 2nd International Conference on ICT Application Research

開催日: 2024/08/31 - 2024/09/03

Duality of codes over a certain ring of order 2m

*Jupiter Pilongo, Rowena Alma Betty, Lucky Galvez

著者情報

キーワード: Self-orthogonal codes, Self-dual codes, Quasi self-dual codes, Type IV codes, Non-unital ring

会議録・要旨集フリー

p. 27-29

詳細

抄録

We introduce a non-unital and non-commutative ring Sm(F1), called ring of ordered sum over F2, the binary eld. We discuss linear codes over this ring, also known as Sm-codes, and their algebraic structure, particularly, their residue and torsion codes. We explore the generalized notion of duality of Sm-codes.

責任著者(Corresponding author)

会議情報

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