Presentation 2021-04-12
An Implementation of a Pairing on Cocks-Pinch Curve with Embedding Degree 6
Zihao Song, Junichi Sakamoto, Tsutomu Matsumoto,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In recent years, with the proliferation of IoT devices and computer performance improvement, there are increasing expectations for advanced cryptography to cope with complex network security issues. The BLS signature, based on bilinear and non-degenerate pairing mappings, and its extension, the aggregate signature, are the examples. There are various types of elliptic curves and pairings based on them, which differ in computational cost and security against attacks. In this paper, we propose an implementation of pairing on Cocks-Pinch curves of embedding degree 6, for which new parameters were investigated in 2019. In particular, we show how to compute the final exponentiation efficiently on a PC with x64 architecture and evaluate the implementation performance. We also discuss the challenges for faster implementation.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Pairing / Implementation
Paper # HWS2021-4
Date of Issue 2021-04-05 (HWS)

Conference Information
Committee HWS
Conference Date 2021/4/12(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Tokyo University/Online
Topics (in Japanese) (See Japanese page)
Topics (in English) Hardware Security
Chair Makoto Ikeda(Univ. of Tokyo)
Vice Chair Yasuhisa Shimazaki(Renesas Electronics) / Makoto Nagata(Kobe Univ.)
Secretary Yasuhisa Shimazaki(Kyushu Univ.) / Makoto Nagata(NTT)
Assistant

Paper Information
Registration To Technical Committee on Hardware Security
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Implementation of a Pairing on Cocks-Pinch Curve with Embedding Degree 6
Sub Title (in English)
Keyword(1) Pairing
Keyword(2) Implementation
1st Author's Name Zihao Song
1st Author's Affiliation Yokohama National University(YNU)
2nd Author's Name Junichi Sakamoto
2nd Author's Affiliation Yokohama National University(YNU)
3rd Author's Name Tsutomu Matsumoto
3rd Author's Affiliation Yokohama National University(YNU)
Date 2021-04-12
Paper # HWS2021-4
Volume (vol) vol.121
Number (no) HWS-1
Page pp.pp.19-24(HWS),
#Pages 6
Date of Issue 2021-04-05 (HWS)