Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582804 | Finite Fields and Their Applications | 2015 | 12 Pages |
Abstract
In this work, quadratic double and quadratic bordered double circulant constructions are applied to F4+uF4F4+uF4 as well as to F4F4, and as a result, 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 seven extremal self-dual binary codes of length 58, twenty-four extremal self-dual binary codes of length 66 and twenty-nine 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Abidin Kaya, Bahattin Yildiz, Irfan Siap,