53 citations · 148 across the 30 of their papers we have counts for
7 papers · 1 filter
An explicit representation and enumeration for self-dual cyclic codes over of length
Yuan Cao, Yonglin Cao, Hai Q. Dinh +1
Let be a finite field of cardinality and a positive integer. Using properties for Kronecker product of matrices and calculation for linear equations ov…
Linear -Intersection Pairs of Codes and Their Applications
Kenza Guenda, T. Aaron Gulliver, Somphong Jitman +1
In this paper, a linear -intersection pair of codes is introduced as a generalization of linear complementary pairs of codes. Two linear codes are said to be a linear -…
Hulls of Cyclic Codes over
Somphong Jitman, Ekkasit Sangwisut, Patanee Udomkavanich
The hulls of linear and cyclic codes over finite fields have been of interest and extensively studied due to their wide applications. In this paper, the hulls of cyclic codes of le…
Self-Conjugate-Reciprocal Irreducible Monic Factors of over Finite Fields and Their Applications
Arunwan Boripan, Somphong Jitman, Patanee Udomkavanich
Self-reciprocal and self-conjugate-reciprocal polynomials over finite fields have been of interest due to their rich algebraic structures and wide applications. Self-reciprocal irr…
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…