Presentation 2016-03-10
A Multiplier Architecture for Finite Field of 254bit-Prime Square Order Based on Pipelined 32bit Montgomery Multipliers
Yusuke Nagahama, Daisuke Fujimoto, Tsutomu Matsumoto,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Bilinear Pairing is a major tool to realize advanced cryptographic functionality such as searchable encryption, aggregate signature, proxy re-encryption, attribute-based and functional encryption. Pairing at 126bit security can be realized efficiently by using a BN curve over GF(p) with embedding degree 12, where p is a 254bit prime. Aiming at designing a superior hardware engine for the BN-curve based pairing computation including GF(p), GF(p^2), and GF(p^12) operations we propose a multiplier architecture for GF(p^2) based on pipelined 32bit Montgomery multipliers and evaluate the resultant performances.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Cryptographic Hardware Architecture / Finite Field Multiplier / Montgomery Multiplication / Pipeline Implementation / Pairing Cryptography
Paper # IT2015-116,ISEC2015-75,WBS2015-99
Date of Issue 2016-03-03 (IT, ISEC, WBS)

Conference Information
Committee IT / ISEC / WBS
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
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Multiplier Architecture for Finite Field of 254bit-Prime Square Order Based on Pipelined 32bit Montgomery Multipliers
Sub Title (in English)
Keyword(1) Cryptographic Hardware Architecture
Keyword(2) Finite Field Multiplier
Keyword(3) Montgomery Multiplication
Keyword(4) Pipeline Implementation
Keyword(5) Pairing Cryptography
1st Author's Name Yusuke Nagahama
1st Author's Affiliation Yokohama National University(YNU)
2nd Author's Name Daisuke Fujimoto
2nd Author's Affiliation Yokohama National University(YNU)
3rd Author's Name Tsutomu Matsumoto
3rd Author's Affiliation Yokohama National University(YNU)
Date 2016-03-10
Paper # IT2015-116,ISEC2015-75,WBS2015-99
Volume (vol) vol.115
Number (no) IT-500,ISEC-501,WBS-502
Page pp.pp.95-100(IT), pp.95-100(ISEC), pp.95-100(WBS),
#Pages 6
Date of Issue 2016-03-03 (IT, ISEC, WBS)