Minimal cyclic codes of length pq |
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| Authors: | Gurmeet K. Bakshi Madhu Raka |
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| Affiliation: | Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India |
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| Abstract: | Explicit expressions for all the 3n+2 primitive idempotents in the ring Rpnq=GF(ℓ)[x]/(xpnq−1), where p,q,ℓ are distinct odd primes, ℓ is a primitive root modulo pn and q both, , are obtained. The dimension, generating polynomials and the minimum distance of the minimal cyclic codes of length pnq over GF(ℓ) are also discussed. |
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| Keywords: | Primitive idempotents Primitive roots Minimal cyclic codes and cyclotomic cosets |
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