Existence of cyclic self-orthogonal codes: A note on a result of Vera Pless

Leetika Kathuria; Madhu Raka

doi:10.3934/amc.2012.6.499

Article Contents

2012, Volume 6, Issue 4: 499-503. Doi: 10.3934/amc.2012.6.499

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Existence of cyclic self-orthogonal codes: A note on a result of Vera Pless

Leetika Kathuria^1, and
Madhu Raka^1,

1.
Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014

Received: December 31, 2011

Revised: May 31, 2012

Published: October 2012

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Abstract

It is of interest to know when cyclic self-orthogonal codes of length $n$ over $\mathbb F_q$ do not exist. The conditions, listed by Pless in [7] under which cyclic self-orthogonal codes can not exist, are not always sufficient. An example is given to assert this. Here we give the necessary and sufficient conditions under which cyclic self-orthogonal codes of length $n$ over $\mathbb F_q$ do not exist.

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Mathematics Subject Classification: Primary: 11T71; Secondary: 94B15.

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References

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