On complementary dual multinegacirculant codes

被引：0
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作者：
Adel Alahmadi
Cem Güneri
Buket Özkaya
Hatoon Shoaib
Patrick Solé
机构：
[1] King Abdulaziz University,Math Department
[2] Sabancı University,School of Physical and Mathematical Sciences
[3] FENS,CNRS, Centrale Marseille, I2M
[4] Nanyang Technological University,undefined
[5] Aix-Marseille Université,undefined
来源：
Cryptography and Communications | 2020年 / 12卷
关键词：
LCD codes; Quasi-twisted codes; Gilbert-Varshamov bound;
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摘要：
Linear codes with complementary duals intersect with their duals trivially. Multinegacirculant codes that are complementary dual are characterized algebraically and some good codes are found in this family. Exact enumeration is performed for indices 2 and 3, whereas special choices of the co-index and base field size are needed for higher indices. Asymptotic existence results are derived for the special class of such codes that have co-index a power of two by means of Dickson polynomials. This shows that there are infinite families of complementary dual multinegacirculant codes with relative distance satisfying a modified Gilbert-Varshamov bound.
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页码：101 / 113
页数：12
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