On linear complementary-dual multinegacirculant codes

Alahmadi, Adel and Güneri, Cem and Özkaya, Buket and Shoaib, Hatoon and Sole, Patrick (2019) On linear complementary-dual multinegacirculant codes. (Accepted/In Press)

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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
Subjects: Q Science > QA Mathematics > QA150-272.5 Algebra
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Cem Güneri
Date Deposited: 01 Aug 2019 22:04
Last Modified: 26 Apr 2022 10:11
URI: https://research.sabanciuniv.edu/id/eprint/39020

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