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

Conference information

Host: International ICT Application Research Society

Name : The 2nd International Conference on ICT Application Research

Date : August 31, 2024 - September 03, 2024

Duality of codes over a certain ring of order 2m

*Jupiter Pilongo, Rowena Alma Betty, Lucky Galvez

Author information

Keywords: Self-orthogonal codes, Self-dual codes, Quasi self-dual codes, Type IV codes, Non-unital ring

CONFERENCE PROCEEDINGS FREE ACCESS

Pages 27-29

Details

Abstract

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.

Corresponding author

Conference information

Register with J-STAGE for free!