activity
20092025
most citedCyclic Codes over Some Finite Quaternion Integer Rings

29 citations · 46 across the 7 of their papers we have counts for

collaborators

7 papers

math.AC2025

New Results On ideals in Commutative Rings

Abuzer Gündüz, Osama A. Naji, Mehmet Özen

This article studies the notion of ideals in commutative ring , where is a multiplicatively closed subset of . Some basic properties of ideals are given. Vari…

cs.IT2019

Self-Dual Skew Cyclic Codes over

Zineb Hebbache, Kenza Guenda, N. Tugba Özzaim +2

In this paper, we give conditions for the existence of Hermitian self-dual cyclic and negacyclic codes over the finite chain ring . By defining…

cs.IT2010★ 2 cited

Quantum codes from codes over Gaussian integers with respect to the Mannheim metric

Murat Güzeltepe, Mehmet Özen

In this paper, some nonbinary quantum codes using classical codes over Gaussian integers are obtained. Also, some of our quantum codes are better than or comparable with those know…

cs.IT2009

The MacWilliams Theorem for Four-Dimensional Modulo Metrics

Murat Guzeltepe, Mehmet Ozen

In this paper, the MacWilliams theorem is stated for codes over finite field with four-dimensional modulo metrics.

cs.IT2009★ 29 cited

Cyclic Codes over Some Finite Quaternion Integer Rings

Murat Guzeltepe, Mehmet Ozen

In this paper, cyclic codes are established over some finite quaternion integer rings with respect to the quaternion Mannheim distance, and de- coding algorithm for these codes is…

cs.IT2009★ 14 cited

Cyclic Codes over Some Finite Rings

Murat Guzeltepe, Mehmet Ozen

In this paper cyclic codes are established with respect to the Mannheim metric over some finite rings by using Gaussian integers and the decoding algorithm for these codes is given…

cs.IT2009★ 1 cited

Codes over Quaternion Integers with Respect to Lipschitz Metric

Murat Guzeltepe, Mehmet Ozen

I want to withdraw this paper.