A new class of codes over Z_2 x Z_2
Combinatorics
2010-08-12 v1 Quantum Algebra
Abstract
We study a new class of codes over Z_2 x Z_2 which we call L-codes. They arise as a natural fifth step in a series of analogies between Kleinian codes, binary codes, lattices and vertex operator algebras. This analogy will be explained in detail. We classify self-dual L-codes up to length 10 and provide tables for these codes and their weight enumerators up to length 4. We also discuss extremal codes for which a nearly complete classification is obtained.
Cite
@article{arxiv.1008.1927,
title = {A new class of codes over Z_2 x Z_2},
author = {Julia Galstad and Gerald Hoehn},
journal= {arXiv preprint arXiv:1008.1927},
year = {2010}
}
Comments
LaTeX, 29 pages, 7 tables