| Presentation | 2013/3/11 An extension of code by introducing partial orders on codewords Etsuro MORIYA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A code is a language X, the set of codewords, such that any word in X^+can be factorized uniquely as the concatenation of words in X. The notion of code is extended by introducing a partial order on the set X of codewords such that any word in X^+ satisfying a certain condition w.r.t. the partial order can be factorized uniquely. Such a language with a partial order is called a partially ordered code. Every code is a partially ordered code, and there exist non-codes that can be partially ordered with some partial orders. A necessary and sufficient condition for a language to be a non-code is given in terms of a sequence of prefixes of words in the language. Although it is a reformulation of a well-known characterization of codes, it can be used to produce a number of algorithms about non-codes. For example, a polynomial time algorithm is given to test whether or not a given finite language is a partially ordered code with respect to a given partial order. Also some algorithms to convert a non-code into a partially ordered code are considered. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | language / code / non-code / codeword / partial order / partially ordered code |
| Paper # | C0MP2012-61 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2013/3/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An extension of code by introducing partial orders on codewords |
| Sub Title (in English) | |
| Keyword(1) | language |
| Keyword(2) | code |
| Keyword(3) | non-code |
| Keyword(4) | codeword |
| Keyword(5) | partial order |
| Keyword(6) | partially ordered code |
| 1st Author's Name | Etsuro MORIYA |
| 1st Author's Affiliation | Faculty of Education and Integrated Arts and Sciences, Waseda University() |
| Date | 2013/3/11 |
| Paper # | C0MP2012-61 |
| Volume (vol) | vol.112 |
| Number (no) | 498 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |