| Presentation | 2018-01-22 Hadamard-type Matrices on Finite Fields and Their Applications Tetsuya Kojima, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Hadamard matrix is defined as a square matrix where any components are -1 or +1, and where any pairs of rows are mutually orthogonal. In this study, we consider the similar matrix on finite field GF(p) where p is an odd prime. In such a matrix, every component is one of the integers on { 1, 2, ..., p-1}. Any addition and multiplication should be executed under modulo p. In this paper, we classify such matrices into some typical types, propose methods to generate them, and introduce some simple examples on GF(3), GF(5) and GF(7), and so on. The applications to the sequence generation are also discussed. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Hadamard-type matrix / finite field / odd prime number / sequence generation |
| Paper # | IT2017-62,SIP2017-70,RCS2017-276 |
| Date of Issue | 2018-01-15 (IT, SIP, RCS) |
| Conference Information | |
| Committee | SIP / IT / RCS |
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| Conference Date | 2018/1/22(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Sunport Hall Takamatsu |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Masahiro Okuda(Univ. of Kitakyushu) / Masayoshi Ohashi(Fukuoka Univ.) / Hidekazu Murata(Kyoto Univ.) |
| Vice Chair | Shogo Muramatsu(Niigata Univ.) / Naoyuki Aikawa(TUS) / Jun Muramatsu(NTT) / Yukitoshi Sanada(Keio Univ.) / Eisuke Fukuda(Fujitsu Labs.) / Satoshi Suyama(NTT DoCoMo) |
| Secretary | Shogo Muramatsu(Chiba Inst. of Tech.) / Naoyuki Aikawa(Takushoku Univ.) / Jun Muramatsu(Yokohama College of Commerce) / Yukitoshi Sanada(UEC) / Eisuke Fukuda(Toshiba) / Satoshi Suyama(Hokkaido Univ.) |
| Assistant | Masayoshi Nakamoto(Hiroshima Univ.ひろ) / Sigeaki Kuzuoka(wakayama univ.) / Tetsuya Yamamoto(Panasonic) / Koichi Ishihara(NTT) / Kazushi Muraoka(NEC) / Shinsuke Ibi(Osaka Univ.) / Hiroshi Nishimoto(Mitsubishi Electric) |
| Paper Information | |
| Registration To | Technical Committee on Signal Processing / Technical Committee on Information Theory / Technical Committee on Radio Communication Systems |
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| Language | ENG-JTITLE |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Hadamard-type Matrices on Finite Fields and Their Applications |
| Sub Title (in English) | |
| Keyword(1) | Hadamard-type matrix |
| Keyword(2) | finite field |
| Keyword(3) | odd prime number |
| Keyword(4) | sequence generation |
| 1st Author's Name | Tetsuya Kojima |
| 1st Author's Affiliation | National Institute of Technology, Tokyo College(NIT, Tokyo College) |
| Date | 2018-01-22 |
| Paper # | IT2017-62,SIP2017-70,RCS2017-276 |
| Volume (vol) | vol.117 |
| Number (no) | IT-394,SIP-395,RCS-396 |
| Page | pp.pp.43-48(IT), pp.43-48(SIP), pp.43-48(RCS), |
| #Pages | 6 |
| Date of Issue | 2018-01-15 (IT, SIP, RCS) |