Zero correlation zone sequence set with inter-group orthogonal and inter-subgroup complementary properties
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February 2015, 9(1): 1-7. doi: 10.3934/amc.2015.9.1
Existence conditions for self-orthogonal negacyclic codes over finite fields
Liren Lin 1, , Hongwei Liu 2, and Bocong Chen 3,
Department of Physical Science and Technology, Central China Normal University, Wuhan, Hubei 430079, China
School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei 430079, China
School of Physical & Mathematical Sciences, Nanyang Technological University, Singapore 637616, Singapore
Received May 2013 Revised April 2014 Published February 2015
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.
Keywords: cyclotomic coset., self-orthogonal code, negacyclic code, Cyclic code.
Mathematics Subject Classification: Primary: 11T71; Secondary: 94B1.
Citation: Liren Lin, Hongwei Liu, Bocong Chen. Existence conditions for self-orthogonal negacyclic codes over finite fields. Advances in Mathematics of Communications, 2015, 9 (1) : 1-7. doi: 10.3934/amc.2015.9.1
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Liren Lin Hongwei Liu Bocong Chen