Type II codes over double struck F sign2 m + u double struck F sign2 m

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
Appears in Collections:	Staff Publications

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