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- W2040936770 abstract "Let q be an odd prime power and p be an odd prime with gcd(p,q)=1. Let order of q modulo p be f, gcd(p−1f,q)=1 and qf=1+pλ. Here expressions for all the primitive idempotents in the ring Rpn=GF(q)[x]/(xpn−1), for any positive integer n, are obtained in terms of cyclotomic numbers, provided p does not divide λ if n⩾2. The dimension, generating polynomials and minimum distances of minimal cyclic codes of length pn over GF(q) are also discussed." @default.
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- W2040936770 date "2004-10-01" @default.
- W2040936770 modified "2023-10-01" @default.
- W2040936770 title "Cyclotomic numbers and primitive idempotents in the ring GF(q)[x]/(xpn−1)" @default.
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- W2040936770 doi "https://doi.org/10.1016/j.ffa.2004.01.005" @default.
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