Existence conditions for self-orthogonal negacyclic codes over finite fields

In this paper, we obtain necessary and sufficient conditions for the nonexistence of nonzero self-orthogonal negacyclic codes over a finite field, of length relatively prime to the characteristic of the underlying field.

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Bibliographic Details
Main Authors: Lin, Liren, Liu, Hongwei, Chen, Bocong
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/10356/107461
http://hdl.handle.net/10220/25491
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Institution: Nanyang Technological University
Language: English
Description
Summary:In this paper, we obtain necessary and sufficient conditions for the nonexistence of nonzero self-orthogonal negacyclic codes over a finite field, of length relatively prime to the characteristic of the underlying field.