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Research Article

Cyclic self dual codes of length pq over Z4

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Pages 2305-2319 | Received 01 Aug 2019, Published online: 11 Mar 2021
 

Abstract

Explicit expressions for primitive idempotent in the ring are obtained, where p and q are distinct odd primes with multiplicative order of 2 modulo p and modulo q being and ϕ(q) respectively. Hence the idempotent generators of cyclic self dual codes of length pq over Z4 are obtained. Further, it is observed that when p = 8k - 1 and q = 8m - 3, the extension of each of these self dual codes augmented with all-ones vector is a Type I code.

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