DeepAI AI Chat

Generalized Reed-Muller codes over Galois rings

01/16/2018

∙

by Harinaivo Andriatahiny, et al.

∙

∙

Recently, Bhaintwal and Wasan studied the Generalized Reed-Muller codes over the prime power integer residue ring. In this paper, we give a generalization of these codes to Generalized Reed-Muller codes over Galois rings.

Harinaivo Andriatahiny
4 publications
Desiré Arsène Ratahirinjatovo
1 publication
Sanni José Andrianalisefa
1 publication

page 1

page 2

page 3

page 4

∙ 03/25/2018

Z_q(Z_q+uZ_q)-Linear Skew Constacyclic Codes

In this paper, we study skew constacyclic codes over the ring Z_qR where...

0 Ahlem Melakhessou, et al. ∙

∙ 04/12/2023

Optimal Testing of Generalized Reed-Muller Codes in Fewer Queries

A local tester for an error correcting code C⊆Σ^n is a tester that makes...

0 Dor Minzer, et al. ∙

∙ 08/02/2019

New nonexistence results on (m,n)-generalized bent functions

In this paper, we present some new nonexistence results on (m,n)-general...

0 Ka Hin Leung, et al. ∙

∙ 08/03/2021

On the Structure of the Binary LCD Codes having an Automorphism of Odd Prime Order

The aim of this work is to study the structure and properties of the bin...

0 Stefka Bouyuklieva, et al. ∙

∙ 03/29/2023

Stabilizer Codes with Exotic Local-dimensions

Traditional stabilizer codes operate over prime power local-dimensions. ...

0 Lane G. Gunderman, et al. ∙

∙ 06/28/2022

An Algebraic Construction Technique for Codes over Hurwitz Integers

Let α be a prime Hurwitz integer. Hα, which is the set of residual class...

0 Ramazan Duran, et al. ∙

∙ 01/09/2023

Codes and modular curves

These lecture notes have been written for a course at the Algebraic Codi...

0 Alain Couvreur, et al. ∙