Presentation 2016-01-18
Representation of the extension field using the even irreducible polynomial
Shigeki Kobayashi, Hiroyuki Ebato, Tatsuo Sugimura,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) This report discribes an representation of the extension field $mathrm{GF}(q^{2m})$ using the even irreducible polynomial. This representation has a merit that an element of subfield $mathrm{GF}(q^m)$ is represented clearly. And It is possible multiplication of extension field using the multiplication of subfield.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) finite field / extension field / even irreducible polynomial
Paper # IT2015-64,SIP2015-78,RCS2015-296
Date of Issue 2016-01-11 (IT, SIP, RCS)

Conference Information
Committee RCS / IT / SIP
Conference Date 2016/1/18(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Kwansei Gakuin Univ. Osaka Umeda Campus
Topics (in Japanese) (See Japanese page)
Topics (in English) Signal Processing for Wireless Communications, Learning, Mathematical Science, Communication Theory, etc.
Chair Makoto Taromaru(Fukuoka Univ.) / Yasutada Oohama(Univ. of Electro-Comm.) / Osamu Houshuyama(NEC)
Vice Chair Hidekazu Murata(Kyoto Univ.) / Satoshi Denno(Okayama Univ.) / Yukitoshi Sanada(Keio Univ.) / Tadashi Wadayama(Nagoya Inst. of Tech.) / Makoto Nakashizuka(Chiba Inst. of Tech.) / Masahiro Okuda(Univ. of Kitakyushu)
Secretary Hidekazu Murata(Mitsubishi Electric) / Satoshi Denno(NTT DoCoMo) / Yukitoshi Sanada(Univ. of Electro-Comm.) / Tadashi Wadayama(Wakayama Univ.) / Makoto Nakashizuka(NEC) / Masahiro Okuda(Ritsumeikan Univ.)
Assistant Jun Mashino(NTT) / Tetsuya Yamamoto(Panasonic) / Takamichi Inoue(NEC) / Tomoya Tandai(Toshiba) / Toshihiko Nishimura(Hokkaido Univ.) / Takuya Kusaka(Okayama Univ.) / Takamichi Miyata(Chiba Inst. of Tech.)

Paper Information
Registration To Technical Committee on Radio Communication Systems / Technical Committee on Information Theory / Technical Committee on Signal Processing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Representation of the extension field using the even irreducible polynomial
Sub Title (in English)
Keyword(1) finite field
Keyword(2) extension field
Keyword(3) even irreducible polynomial
1st Author's Name Shigeki Kobayashi
1st Author's Affiliation Nagano College of Technology(Nagano nct)
2nd Author's Name Hiroyuki Ebato
2nd Author's Affiliation Shinsyu Univercity(Shinshu Univ.)
3rd Author's Name Tatsuo Sugimura
3rd Author's Affiliation Shinsyu Univercity(Shinshu Univ.)
Date 2016-01-18
Paper # IT2015-64,SIP2015-78,RCS2015-296
Volume (vol) vol.115
Number (no) IT-394,SIP-395,RCS-396
Page pp.pp.97-100(IT), pp.97-100(SIP), pp.97-100(RCS),
#Pages 4
Date of Issue 2016-01-11 (IT, SIP, RCS)