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New extremal binary self-dual codes from F_4 + uF_4-lifts of quadratic double circulant codes over F_4

Authors :
Kaya, Abidin
Yildiz, Bahattin
Siap, Irfan
Source :
Finite Fileds and Their Applications Volume 35 2015
Publication Year :
2014

Abstract

In this work, quadratic double and quadratic bordered double circulant constructions are applied to F_4 + uF_4 as well as F_4, as a result of which extremal binary self-dual codes of length 56 and 64 are obtained. The binary extension theorems as well as the ring extension version are used to obtain 7 extremal self-dual binary codes of length 58, 24 extremal self-dual binary codes of length 66 and 29 extremal self-dual binary codes of length 68, all with new weight enumerators, updating the list of all the known extremal self-dual codes in the literature.<br />Comment: Under review since May 2014, 11 pages, 6 tables

Details

Database :
arXiv
Journal :
Finite Fileds and Their Applications Volume 35 2015
Publication Type :
Report
Accession number :
edsarx.1405.7147
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.ffa.2015.05.004