CYCLOTOMIC COSETS IN THE RING
Journal: International Journal of Advanced Research (Vol.13, No. 06)Publication Date: 2025-06-15
Authors : Ranjeet Singh;
Page : 1268-1269
Keywords : Cyclotomic Coset Generating Polynomials and Minimal Cyclic Codes;
Abstract
We consider the ringR_(2p^n q^m )=GF(l)[x]/(x^(2p^n q^m )-1) where p,q,l are distinct odd primes,l is a primitive root both modulo p^n and q^m such that gcd(p^n),(q^m))d.Explicit expressions for all the 2(m n d+m+n+1) Cyclotomic Cosets areobtained, p does not divide q-1 .
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