Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4650392 | Discrete Mathematics | 2008 | 12 Pages |
Abstract
Brualdi et al. [Codes with a poset metric, Discrete Math. 147 (1995) 57–72] introduced the concept of poset codes, and gave an example of poset structure which admits the extended binary Golay code to be a 4-error-correcting perfect PP-code. In this paper we classify all of the poset structures which admit the extended binary Golay code to be a 4-error-correcting perfect PP-code, and show that there are no posets which admit the extended binary Golay code to be a 5-error-correcting perfect PP-code.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Changrim Jang, Hyun Kwang Kim, Dong Yeol Oh, Yoomi Rho,