activity
20092022
most citedA transform approach to polycyclic and serial codes over rings

5 citations · 7 across the 5 of their papers we have counts for

collaborators

9 papers

cs.IT2022★ 2 cited

On the structure of repeated-root polycyclic codes over local rings

Maryam Bajalan, Edgar Martinez-Moro, Reza Sobhani +2

This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempote…

cs.IT2021★ 5 cited

A transform approach to polycyclic and serial codes over rings

Maryam Bajalan, Edgar Martínez-Moro, Steve Szabo

In this paper, a transform approach is used for polycyclic and serial codes over finite local rings in the case that the defining polynomials have no multiple roots. This allows us…

math.RA2020

Minimal Reflexive Nonsemicommutative Rings

Henry Chimal-Dzul, Steve Szabo

It has recently been shown that a minimal reversible nonsymmetric ring has order 256 answering a questioned original posed in a paper on a taxonomy of 2-primal rings. Answers to si…

math.RA2018

Some Minimal Rings Related to 2-Primal Rings

Steve Szabo

In a paper on the taxonomy of 2-primal rings, examples of various types of rings that are related to commutativity such as reduced, symmetric, duo, reversible and PS~I were given i…

math.RA2017

Minimal Reversible Nonsymmetric Rings

Steve Szabo

Marks showed that , the group algebra over the quaternion group, is a reversible nonsymmetric ring, then questioned whether or not this ring is mini…

cs.IT2015

Duality Preserving Gray Maps for Codes over Rings

Steve Szabo, Felix Ulmer

Given a finite ring which is a free left module over a subring of , two types of -bases, pseudo-self-dual bases (similar to trace orthogonal bases) and symmetric base…