… Abstract—We generalize the notions of duadic codes, triadic codes, polyadic codes, and
split group codes to include noncyclic Abelian codes. Necessary and sufficient conditions for …

… of a Type-I polyadic λ-constacyclic code is obtained. We also exhibit some optimal polyadic
constacyclic codes, including generalized Reed-Solomon codes and alternant maximum …

… subcode of certain types of polyadic codes was established. In this … polyadic codes to the
class of consta-Abelian polyadic codes, which, in particular, include constacyclic polyadic codes…

… We define four families of m-adic residue codes of prime length and use their basic properties
to define four families of codes called polyadic codes of which duadic and triadic codes …

… of polyadic codes of prime power length. Examples of some good codes arising from the
family of polyadic codes … codes arising from the family of polyadic codes of prime power length. …

… -like polyadic codes of class I(the other 3 families can be defined in terms of these as for
m-adic residue codes). Let $C_{i}=(e_{i}),$ $i=$ O,...,ml be a set of even-like codes of length $n$ …

… the associated polyadic codes and the number of codes under these conditions. … codes
and multiconstacyclic codes. In Section 4, we define Abelian and consta-Abelian polyadic codes …

… Product Accumulate Codes: A Class of Codes With Near-Capacity Performance and Low
Decoding … Recursive Convolutional Codes for Serially Concatenated Convolutional Codes …

… cyclic codes in the case of prime lengths. Ling and Xing introduced a family of polyadic
codes in [10] to include (noncyclic) abelian codes as a generalization of polyadic cyclic codes …

… codes, the m-adic residue codes and the polyadic codes. The m-adic residue codes, defined
by Brualdi and Pless in [2], are cyclic codes of … They generalize the quadratic residue codes …