New Extremal binary self-dual codes from a Baumert-Hall array
pith:X52Z7CAQ Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{X52Z7CAQ}
Prints a linked pith:X52Z7CAQ badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
In this work, we introduce new construction methods for self-dual codes using a Baumert-Hall array. We apply the constructions over the alphabets F_2 and F_4 + uF_4 and combine them with extension theorems and neighboring constructions. As a result, we construct 46 new extremal binary self-dual codes of length 68, 26 new best known Type II codes of length 72 and 8 new extremal Type II codes of length 80 that lead to new 3-(80,16,665) designs. Among the new codes of length 68 are the examples of codes with the rare \gamma= 5 parameter in W68;2. All these new codes are tabulated in the paper.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.