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On complementary dual multinegacirculant codes

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Alahmadi, Adel and Güneri, Cem and Özkaya, Buket and Shoaib, Hatoon and Sole, Patrick (2020) On complementary dual multinegacirculant codes. Cryptography and Communications, 12 (1). pp. 101-113. ISSN 1936-2447 (Print) 1936-2455 (Online)

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Official URL: http://dx.doi.org/10.1007/s12095-019-00364-8

Abstract

Linear codes with complementary-duals (LCD) are linear codes that intersect with their dual trivially. Multinegacirculant codes of index 2 that are LCD are characterized algebraically and some good codes are found in this family. Exact enumeration is performed for indices 2 and 3, and for all indices t for a special case of the co-index by using their concatenated structure. Asymptotic existence results are derived for the special class of such codes that are one-generator and have co-index a power of two by means of Dickson polynomials. This shows that there are innite families of LCD multinegacirculant codes with relative distance satisfying a modied Varshamov-Gilbert bound.

Item Type:Article
Uncontrolled Keywords:LCD codes; Quasi-twisted codes; Gilbert-Varshamov bound
Subjects:Q Science > QA Mathematics > QA150-272.5 Algebra
ID Code:40297
Deposited By:Cem Güneri
Deposited On:18 Sep 2020 18:14
Last Modified:18 Sep 2020 18:14

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