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자연과학대학
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Journal papers
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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
이혜숙
;
이윤진
SCOPUS Author ID
이혜숙
; 이윤진
Issue Date
2009
Journal Title
IEEE International Symposium on Information Theory - Proceedings
Citation
IEEE International Symposium on Information Theory - Proceedings, pp. 2396 - 2399
Indexed
SCOPUS
Document Type
Conference Paper
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
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