53 citations · 148 across the 30 of their papers we have counts for
7 papers · 1 filter
Good Integers and Applications in Coding Theory
Somphong Jitman
A class of good integers has been introduced by P. Moree in together with the characterization of good odd integers. Such integers have shown to have nice number theoretical…
Self-Dual Abelian Codes in some Non-Principal Ideal Group Algebras
Parinyawat Choosuwan, Somphong Jitman, Patanee Udomkavanich
The main focus of this paper is the complete enumeration of self-dual abelian codes in non-principal ideal group algebras $\mathbb{F}_{2^k}[A\times \mathbb{Z}_2\times \mathbb{Z}_{2…
Constructions of Good Entanglement-Assisted Quantum Error Correcting Codes
Kenza Guenda, Somphong Jitman, T. Aaron Gulliver
Entanglement-assisted quantum error correcting codes (EAQECCs) are a simple and fundamental class of codes. They allow for the construction of quantum codes from classical codes by…
Complementary Dual Subfield Linear Codes Over Finite Fields
Kriangkrai Boonniyom, Somphong Jitman
Two families of complementary codes over finite fields are studied, where is square: i) Hermitian complementary dual linear codes, and ii) trace Hermitian co…
Determinants of Matrices over Commutative Finite Principal Ideal Rings
Parinyawat Choosuwan, Somphong Jitman, Patanee Udomkavanich
In this paper, the determinants of matrices over commutative finite chain rings and over commutative finite principal ideal rings are studied. The number of …
One-Generator Quasi-Abelian Codes Revisited
Somphong Jitman, Patanee Udomkavanich
The class of 1-generator quasi-abelian codes over finite fields is revisited. Alternative and explicit characterization and enumeration of such codes are given. An algorithm to fin…