| Presentation | 2016-03-10 Algebraic Construction of KV Trellises for Linear Block Codes Masato Tajima, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we present an algebraic construction of Koetter-Vardy (KV) trellises. The proposed method is based on the state space expression, i.e., the state space is the image of the set of information sequences under the associated state matrix. Then combining with the homomorphism theorem, an algebraic trellis construction is obtained. We show that a tail-biting trellis constructed using the proposed method is isomorphic to the associated KV trellis (i.e., the product trellis). On the other hand, a matrix consisting of linearly independent rows of the characteristic matrix is regarded as a generalization of minimal-span generator matrices. Then we show that a KV trellis is constructed based on an extended minimal-span generator matrix. It is shown that this construction is a natural extension of the method proposed by McEliece (1996). |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | block codes / algebraic construction / tail-biting trellis / KV trellis |
| Paper # | IT2015-120,ISEC2015-79,WBS2015-103 |
| Date of Issue | 2016-03-03 (IT, ISEC, WBS) |
| Conference Information | |
| Committee | IT / ISEC / WBS |
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| Conference Date | 2016/3/10(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | The University of Electro-Communications |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | joint meeting of IT, ISEC, and WBS |
| Chair | Yasutada Oohama(Univ. of Electro-Comm.) / Yukiyasu Tsunoo(NEC) / Hiromasa Habuchi(Ibaraki Univ.) |
| Vice Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) / Masahiro Mambo(Kanazawa Univ.) / Kazuto Ogawa(NHK) / Fumiaki Maehara(Waseda Univ.) / Minoru Okada(NAIST) |
| Secretary | Tadashi Wadayama(Univ. of Electro-Comm.) / Masahiro Mambo(Wakayama Univ.) / Kazuto Ogawa(AIST) / Fumiaki Maehara(Toshiba) / Minoru Okada(Univ. of Kitakyushu) |
| Assistant | Takuya Kusaka(Okayama Univ.) / Tetsuya Izu(Fujitsu Lab.) / Takaaki Mizuki(Tohoku Univ.) / Noritaka Yamashita(NEC) / Yusuke Kozawa(Tokyo Univ. of Science) / Akira Nakamura(Tokyo Univ. of Science) / Ryohei Nakamura(National Defense Academy) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory / Technical Committee on Information Security / Technical Committee on Wideband System |
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| Language | ENG-JTITLE |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Algebraic Construction of KV Trellises for Linear Block Codes |
| Sub Title (in English) | |
| Keyword(1) | block codes |
| Keyword(2) | algebraic construction |
| Keyword(3) | tail-biting trellis |
| Keyword(4) | KV trellis |
| 1st Author's Name | Masato Tajima |
| 1st Author's Affiliation | *(*) |
| Date | 2016-03-10 |
| Paper # | IT2015-120,ISEC2015-79,WBS2015-103 |
| Volume (vol) | vol.115 |
| Number (no) | IT-500,ISEC-501,WBS-502 |
| Page | pp.pp.119-124(IT), pp.119-124(ISEC), pp.119-124(WBS), |
| #Pages | 6 |
| Date of Issue | 2016-03-03 (IT, ISEC, WBS) |