Patanee Udomkavanich

Generalized stability of classical polynomial functional equation of order n

We study a general n th order polynomial functional equation Δynf(x)=n!f(y) on linear spaces and prove its generalized stability.MSC:39B52, 39B82.

Self-Conjugate-Reciprocal Irreducible Monic Factors of x n -1 over Finite Fields and Their Applications.

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 irreducible monic factors of

One–generator quasi–abelian codes revisited

x^n-1

Determinants of matrices over commutative finite principal ideal rings

over finite fields and their applications have been quite well studied. In this paper, self-conjugate-reciprocal irreducible monic (SCRIM) factors of

Self-Dual Abelian Codes in Some Nonprincipal Ideal Group Algebras

x^n-1

SKEW CONSTACYCLIC CODES OVER FINITE CHAIN RINGS

over finite fields of square order have been focused on. The characterization of such factors is given together the enumeration formula. In many cases, recursive formulas for the number of SCRIM factors of

Hulls of cyclic and negacyclic codes over finite fields

x^n-1

Stability of a generalized trigonometric functional equation

have been given as well. As applications, Hermitian complementary dual codes over finite fields and Hermitian self-dual cyclic codes over finite chain rings of prime characteristic have been discussed.

Some Transformation Semigroups Admitting Nearing Structure

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 find all 1-generator quasi-abelian codes is provided. Two 1-generator quasi-abelian codes whose minimum distances are improved from Grassl’s online table are presented.

Rational Recursive Equations Characterizing Cotangent-tangent and Hyperbolic Cotangent-tangent Functions

In this paper, the determinants of