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Construction of self-dual codes over F 2 + uF 2
- Title
- Construction of self-dual codes over F 2 + uF 2
- Authors
- Han S.; Lee H.; Lee Y.
- Ewha Authors
- 이혜숙; 이윤진
- SCOPUS Author ID
- 이혜숙; 이윤진
- Issue Date
- 2012
- Journal Title
- Bulletin of the Korean Mathematical Society
- ISSN
- 1015-8634
- Citation
- Bulletin of the Korean Mathematical Society vol. 49, no. 1, pp. 135 - 143
- Indexed
- SCIE; SCOPUS; KCI
- Document Type
- Article
- Abstract
- We present two kinds of construction methods for self-dual codes over F 2 + uF 2. Specially, the second construction (respectively, the first one) preserves the types of codes, that is, the constructed codes from Type II (respectively, Type IV) is also Type II (respectively, Type IV). Every Type II (respectively, Type IV) code over F 2 + uF 2 of free rank larger than three (respectively, one) can be obtained via the second construction (respectively, the first one). Using these constructions, we update the information on self-dual codes over F 2 + uF 2 of length 9 and 10, in terms of the highest minimum (Hamming, Lee, or Euclidean) weight and the number of inequivalent codes with the highest minimum weight. © 2012 The Korean Mathematical Society.
- DOI
- http://dx.doi.org/10.4134/BKMS.2012.49.1.135
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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