TY - GEN
T1 - Construction of cubic self-dual codes
AU - Han, Sunghyu
AU - Kim, Jon Lark
AU - Lee, Heisook
AU - Lee, Yoonjin
PY - 2009
Y1 - 2009
N2 - We present a building-up construction method for quasi-cyclic self-dual codes over finite fields. By using this, we give cubic (i.e., ℓ-quasi-cyclic codes of length 3ℓ) 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.
AB - We present a building-up construction method for quasi-cyclic self-dual codes over finite fields. By using this, we give cubic (i.e., ℓ-quasi-cyclic codes of length 3ℓ) 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.
UR - http://www.scopus.com/inward/record.url?scp=70449481618&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2009.5206006
DO - 10.1109/ISIT.2009.5206006
M3 - Conference contribution
AN - SCOPUS:70449481618
SN - 9781424443130
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2396
EP - 2399
BT - 2009 IEEE International Symposium on Information Theory, ISIT 2009
T2 - 2009 IEEE International Symposium on Information Theory, ISIT 2009
Y2 - 28 June 2009 through 3 July 2009
ER -