Type I and Type II codes over the ring 𝔽2 + u𝔽2 + v𝔽2 + uv𝔽2-Reference-Cited by-同舟云学术

Type I and Type II codes over the ring 𝔽2 + u𝔽2 + v𝔽2 + uv𝔽2

Published:2019-04 Issue:02 Volume:12 Page:1950025
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Ankur ¹,Kewat Pramod Kumar¹

Affiliation:

1. Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826 004, India

Abstract

We discuss self-dual codes over the ring [Formula: see text]. We characterize the structure of self-dual, Type I codes and Type II codes over [Formula: see text] with given generator matrix in terms of the structure of their Torsion and Residue codes. We construct self-dual, Type I and Type II codes over [Formula: see text] for different lengths.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557119500256

Reference20 articles.

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