53 citations · 148 across the 30 of their papers we have counts for
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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…
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…
Determinants of some Special Matrices over Commutative Finite Chain Rings
Somphong Jitman
Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, suc…
Determinants of Binomial-Related Circulant Matrices
Trairat Jantaramas, Somphong Jitman, Pornpan Kaewsaard
Due to their rich algebraic structures and various applications, circulant matrices have been of interest and continuously studied. In this paper, the notions of Binomial-related m…
Self-Conjugate-Reciprocal Irreducible Monic Polynomials over Finite Fields
Arunwan Boripan, Somphong Jitman, Patanee Udomkavanich
The class of self-conjugate-reciprocal irreducible monic (SCRIM) polynomials over finite fields are studied. Necessary and sufficient conditions for monic irreducible polynomials t…
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…