Constacyclotomic Cosets and Constacyclonomials of Constacyclic Codes

This report is a continuation of a previous report which dealt with generating and cyclonomic polynomials of constacyclic codes. Now, we introduce and investigate constacyclotomic cosets, generalizing the well-known cyclotomic cosets, and also constacyclonomials which generalize cyclonomials.These notions and their properties seem to be useful for the study of idempotent generators of constacyclic codes, especially for the derivation of orthogonality relations between
primitive idempotents. At the end of the report we point out how one can possibly generalize the approach we developed earlier for cyclic codes.