12 citations · 16 across the 9 of their papers we have counts for
12 papers
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…
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…
Characterization and Enumeration of Complementary Dual Abelian Codes
Arunwan Boripan, Somphong Jitman, Patanee Udomkavanich
Abelian codes and complementary dual codes form important classes of linear codes that have been extensively studied due to their rich algebraic structures and wide applications. I…
Multidimensional Fibonacci Coding
Perathorn Pooksombat, Patanee Udomkavanich, Wittawat Kositwattanarerk
Fibonacci codes are self-synchronizing variable-length codes that are proven useful for their robustness and compression capability. Asymptotically, these codes provide better comp…
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…