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Title of Journal: J Appl Math Comput

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Abbravation: Journal of Applied Mathematics and Computing

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Springer Berlin Heidelberg

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DOI

10.1016/0020-7403(71)90108-1

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1865-2085

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Minimal cyclic codes of length 8pn over G

Authors: Jagbir Singh S K Arora
Publish Date: 2014/06/24
Volume: 48, Issue: 1-2, Pages: 55-69
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Abstract

The explicit expression for the 8n+6 primitive idempotents in FG the group algebra of the cyclic group G of order 8pn where p is an odd prime nge 1 over the finite field F of prime power order q where q is of the form 8k+5 and is a primitive root modulo pn are obtained The minimum distances dimensions and the generating polynomials of the minimal cyclic codes generated by these primitive idempotents are also obtained

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