Construction of Multicyclic Codes of Arbitrary Dimension $r$ via Idempotents: A Unified Combinatorial-Algebraic Approach

Jean Charles Ramanandraibe, Ramamonjy Andriamifidisoa

We propose a unified method to construct multicyclic codes of arbitrary dimension $r$ over ${\mathbb{F}}_q$. The approach relies on $r$-dimensional primitive idempotents defined as t…