53 citations · 148 across the 30 of their papers we have counts for
39 papers
Good Integers: (T,k)-Subclasses and Applications to Galois Duality in Coding Theory
Somphong Jitman, Panthakan Boonsuriyatham
The notion of good integers, namely the divisors of the sequence for nonzero coprime integers and , together with their subfamilies such as oddly-good a…
Explicit Determinants of Homogeneous Polynomial Evaluation Matrices and Applications
Somphong Jitman, Wannarut Rungrottheera
In this work, the determinants of matrices constructed by evaluating homogeneous bivariate polynomials at pairs of vectors are investigated. For a polynomial $p(x,y)=\sum\limits_{i…
Good Integers: A Concise Completion of the Non-Coprime Case
Somphong Jitman
For coprime nonzero integers and , a positive integer is said to be {\em good} with respect to and if there exists a positive integer such that $\ell |(a^…
On the Enumeration of Symmetric Tridiagonal Matrices with prescribed Determinant over Commutative Finite Chain Rings
Edgar Martinez-Moro, Neennara Rodnit, Somphong Jitman
Determinants of structured matrices play a fundamental role in both pure and applied mathematics, with wide-ranging applications in linear algebra, combinatorics, coding theory, an…
Good Integers: A Comprehensive Review with Applications
Somphong Jitman
For nonzero coprime integers and , a positive integer is said to be \emph{good with respect to and } if there exists a positive integer such that di…
Characterizations and Constructions of Linear Intersection Pairs of Cyclic Codes over Finite Fields
Somphong Jitman
Linear intersection pairs of linear codes have become of interest due to their nice algebraic properties and wide applications. In this paper, we focus on linear intersection pairs…