SOME CYCLIC CODES OF LENGTH $8p^{n}$

Singh, Jyoti; Arora, Shivam; Chawla, Sanjay

doi:10.12732/ijpam.v116i1.23

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Int. J. of Pure and Appl. Math.

2017

DOI: 10.12732/ijpam.v116i1.23

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SOME CYCLIC CODES OF LENGTH $8p^{n}$

Jyoti Singh¹,

Shivam Arora²,

Sanjay Chawla³

Abstract: Explicit expressions for primitive idempotents in the semi-simple group algebran over finite field F of order q, where q is primitive root modulo p n , are obtained. Generating polynomials, minimum distances and dimensions of the corresponding minimal cyclic codes are also obtained.

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SOME CYCLIC CODES OF LENGTH $8p^{n}$

Abstract: Explicit expressions for primitive idempotents in the semi-simple group algebran over finite field F of order q, where q is primitive root modulo p n , are obtained. Generating polynomials, minimum distances and dimensions of the corresponding minimal cyclic codes are also obtained.

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References 6 publications

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