Expression for primitive idempotents of length 8pn and corresponding codes

Jagbir Singh, Sonika Ahlawat, S.K. Arora

Abstract


The group algebra FG of the group G of order 8pn over the field F of prime power order q, where p is an odd prime n≥1, q is of the form 8k+1 and q is primitive root modulo pn, have 8(n+1) primitive idempotents. The explicit expressions for these idempotents are obtained. Generating polynomials, minimum distances and dimensions for the corresponding minimal cyclic codes are also obtained.

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Published: 2022-04-11

How to Cite this Article:

Jagbir Singh, Sonika Ahlawat, S.K. Arora, Expression for primitive idempotents of length 8pn and corresponding codes, J. Math. Comput. Sci., 12 (2022), Article ID 139

Copyright © 2022 Jagbir Singh, Sonika Ahlawat, S.K. Arora. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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