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-cor...
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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 P-code. Ill this paper we classify all of the poset structures which admit the extended binary golay code to be a 4-error-correcting perfect P-code, and show that there are no posets which admit the extended binary golay code to be a 5-error-correcting perfect P-code. (c) 2007 Elsevier B.V. All rights reserved.
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