Name
Abstract | ||
|---|---|---|
We present a building-up construction method for quasi-cyclic self-dual codes over finite fields. By using this, we give cubic (i.e., lscr-quasi-cyclic codes of length 3lscr) self-dual codes over various finite fields, which are optimal or have the best known parameters. In particular, we find a new quasi-cyclic self-dual [24, 12, 9] code over F5, whose corresponding lattice by Construction A is shown to be the odd Leech lattice O24. Only one self-dual [24, 12, 9] code over F5 was known before up to monomial equivalence. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/ISIT.2009.5206006 | ISIT |
Keywords | Field | DocType |
cubic self-dual codes construction,linear codes,cubic self-dual code,known parameter,self-dual code,odd leech lattice o24,new quasi-cyclic self-dual,quasi-cyclic self-dual codes,various finite field,corresponding lattice,construction a,leech lattice,l-quasi-cyclic code,quasi-cyclic self-dual code,finite field,building-up construction method,monomial equivalence,dual codes,lattices,generators,indexes,construction industry,linear code,data mining | Hamming code,Discrete mathematics,Combinatorics,Finite field,Group code,Lattice (order),Leech lattice,Equivalence (measure theory),Linear code,Monomial,Mathematics | Conference |
ISBN | Citations | PageRank |
978-1-4244-4313-0 | 1 | 0.36 |
References | Authors | |
8 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sunghyu Han | 1 | 35 | 6.52 |
| Jon-Lark Kim | 2 | 312 | 34.62 |
| Heisook Lee | 3 | 29 | 4.47 |
| Yoonjin Lee | 4 | 107 | 21.53 |