On the classification of self-dual [20,10,9] codes over GF(7)
Combinatorics
2016-08-19 v2
Abstract
It is shown that the extended quadratic residue code of length 20 over GF(7) is a unique self-dual [20,10,9] code C such that the lattice obtained from C by Construction A is isomorphic to the 20-dimensional unimodular lattice D_{20}^+, up to equivalence. This is done by converting the classification of such self-dual codes to that of skew-Hadamard matrices of order 20.
Keywords
Cite
@article{arxiv.1509.03731,
title = {On the classification of self-dual [20,10,9] codes over GF(7)},
author = {Masaaki Harada and Akihiro Munemasa},
journal= {arXiv preprint arXiv:1509.03731},
year = {2016}
}
Comments
10 pages, minor revision