A new class of codes over Z_2 x Z_2
arXiv:1008.1927
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.
arXiv commentLaTeX, 29 pages, 7 tables
References in corpus (6)
- Three-Dimensional Gravity Revisited
- Framed vertex operator algebras, codes and the moonshine module
- On the Classification of All Self-Dual Additive Codes over GF(4) of Length up to 12
- Selbstduale Vertexoperatorsuperalgebren und das Babymonster (Self-dual Vertex Operator Super Algebras and the Baby Monster)
- Fusion Algebras and Characters of Rational Conformal Field Theories
- Self-Dual Vertex Operator Superalgebras of Large Minimal Weight