A prime decomposition algorithm for supercodes
Author(s) -
Hung Van Kieu
Publication year - 2014
Publication title -
journal of computer science and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2815-5939
pISSN - 1813-9663
DOI - 10.15625/1813-9663/29/4/4342
Subject(s) - prime (order theory) , decomposition , catenation , uniqueness , mathematics , algorithm , decomposition method (queueing theory) , discrete mathematics , computer science , combinatorics , chemistry , organic chemistry , dna , mathematical analysis , biochemistry
Supercode, a particular case of hypercodes, has been introduced and considered by D. L. Van and the author in previous papers. A supercode is called prime if it cannot be decomposed as a catenation of two supercodes. The prime decomposition of a supercode L is to decompose L into prime supercodes. In this paper, a linear-time prime decomposition algorithm for supercodes is proposed. The uniqueness of the prime decomposition for supercodes is presented. AMS Mathematics Subject Classification: 94A45, 68Q45.
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