Let F _q F q be a finite field with q elements, D_ 2n,\, r D 2 n, ra generalized dihedral group
with\gcd (2n, q)= 1 gcd (2 n, q)= 1, and F _q D_ 2n,\, r F q D 2 n, ra generalized dihedral …

Let F q be a finite field with q elements and p be a prime with gcd (p, q)= 1. Let G be a finite
abelian p-group and F q (G) be a group algebra. In this paper, we find all primitive …

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 …

Consider a finite field F q with characteristic p, where G is a crystallographic point group
satisfying p∤| G| and q= pn. In this paper, we propose studying group codes in the …

A straightforward extension of linear codes with complementary dual is the class of T-Direct
codes. A systematic construction of T-Direct codes along with the coding scheme, capable of …

Let F _q F q be a finite field with order q and D 2 n be the dihedral group with 2 n elements,
and gcd (q, 2 n)= 1. In this article, the authors give precise descriptions and enumerations of …

Linear complementary dual codes have become an interesting sub-family of linear codes
over finite fields since they can be practically applied in various fields such as cryptography …

Let Fq be a finite field of characteristic q and Sn a symmetric group of order n!. In this paper,
group codes in the symmetric group algebras FqSn with q> 3 and n= 3, 4 are proposed. We …

Linear codes with additional algebraic structures such as cyclic codes, negacyclic codes
and abelian codes have become of interest due to their nice algebraic structures, wide …

Algebraic codes are of interest due to their rich algebraic structures and links with other
mathematical objects. Some algebraic codes also have good parameters, while some have …