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CYCLOTOMIC COSETS IN THE RING

Journal: International Journal of Advanced Research (Vol.13, No. 06)

Publication Date:

Authors : ;

Page : 1268-1269

Keywords : Cyclotomic Coset Generating Polynomials and Minimal Cyclic Codes;

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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 .

Last modified: 2025-07-23 15:43:30