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Construction of cubic self-dual codes

Title
Construction of cubic self-dual codes
Authors
Han S.Kim J.-L.Lee H.Lee Y.
Ewha Authors
이혜숙이윤진
SCOPUS Author ID
이혜숙scopusscopus; 이윤진scopus
Issue Date
2009
Journal Title
IEEE International Symposium on Information Theory - Proceedings
Indexed
SCOPUS scopus
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., 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. © 2009 IEEE.
DOI
10.1109/ISIT.2009.5206006
ISBN
9781424443130
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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