Presentation 1996/10/18
A probabilistic algorithm for computing minimum distance of cyclic codes
Masami MOHRI, Masakatu MORII,
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Abstract(in English) A class of cyclic code is very important as practical and theoretical points of view. For discussing the error performance analysis, we need the minimum distance. However, it is hard to compute the minimum distance when the cyclic code has a great many codewords. Jeffrey S. Leon proporsed an efficient algorithm of computing the minimum distance of linear code. It is probabilistic algorithm, with a very low probability of error , the minimum distance of codes far too large to be treated by general algorithm. In this paper, we present the probabilistic algorithm for computing the minimim distance of cyclic codes. Futhermore we note that algorithm is very efficient compared with other algorithm.
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Keyword(in English) cyclic codes / minimun distance / weight distribution / error probability / generator matrix
Paper # IT96-34
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Committee IT
Conference Date 1996/10/18(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A probabilistic algorithm for computing minimum distance of cyclic codes
Sub Title (in English)
Keyword(1) cyclic codes
Keyword(2) minimun distance
Keyword(3) weight distribution
Keyword(4) error probability
Keyword(5) generator matrix
1st Author's Name Masami MOHRI
1st Author's Affiliation Department of Management and Information Processing, Kagawa Junior College()
2nd Author's Name Masakatu MORII
2nd Author's Affiliation Department of Information Science and Intelligent Systems, Faculty of Engineering, The University of Tokushima
Date 1996/10/18
Paper # IT96-34
Volume (vol) vol.96
Number (no) 311
Page pp.pp.-
#Pages 6
Date of Issue