Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0012-365X(03)00097-9
Title: Type II codes over double struck F sign2 m + u double struck F sign2 m
Authors: Betsumiya, K.
Ling, S. 
Nemenzo, F.R.
Keywords: Classification
Gray map
Mass formula
Self-dual codes
Type II codes
Issue Date: 28-Jan-2004
Citation: Betsumiya, K., Ling, S., Nemenzo, F.R. (2004-01-28). Type II codes over double struck F sign2 m + u double struck F sign2 m. Discrete Mathematics 275 (1-3) : 43-65. ScholarBank@NUS Repository. https://doi.org/10.1016/S0012-365X(03)00097-9
Abstract: We look at the special class of self-dual codes called Type II codes over the alphabet Rm = double struck F sign2 m + u double struck F sign2 m where u2 = 0. Properties of the Gray maps which take self-dual codes over Rm to self-dual codes over the subrings double struck F sign2 m and Rr = double struck F sign2 r + u double struck F sign2 r for divisors r of m are studied. We give a mass formula for Type II codes over Rm and classify such codes of length n≤8 for m = 2, 3, 4, 5, 6 and 7. © 2003 Elsevier B.V. All rights reserved.
Source Title: Discrete Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/104413
ISSN: 0012365X
DOI: 10.1016/S0012-365X(03)00097-9
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