Pairing Computation in Jacobi Quartic Curves Using Weight Projective Coordinates

被引：0
|
作者：
Ren, Yajuan [1 ]
机构：
[1] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
来源：
PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON SENSOR NETWORK AND COMPUTER ENGINEERING | 2016年 / 68卷
关键词：
Elliptic curve; Jacobi quartic curve; Tate pairing; Miller function; Cryptography;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we present the pairing computation on Jacobi quadric curves using weight projective coordinates. In our algorithm, the cost of addition step reduced to 1M+(k+9)m+3s+1m(t), and the cost of doubling step is 1M+1S+(k+3)m+8s+2m(a)+1m(d).
引用
收藏
页码：93 / 97
页数：5
相关论文
共 50 条
  • [41] New formulae for Tate pairing computation on Weierstrass curves
    WANG Hong
    WANG Kun-peng
    SONG Jun-de
    [J]. The Journal of China Universities of Posts and Telecommunications, 2013, 20 (03) : 85 - 89
  • [42] Optimal pairing computation over families of pairing-friendly elliptic curves
    Soo-Kyung Eom
    Hyang-Sook Lee
    Cheol-Min Park
    [J]. Applicable Algebra in Engineering, Communication and Computing, 2011, 22 : 235 - 248
  • [43] On Bertini's theorem for fibrations by plane projective quartic curves in characteristic five
    Stoehr, Karl-Otto
    [J]. JOURNAL OF ALGEBRA, 2007, 315 (02) : 502 - 526
  • [44] Multimedia Encryption on Bitplanes of Image Using ECC on Koblitz Curves with Lopez-Dahab Projective Coordinates
    Pinapati, Anil
    Padmavathy, R.
    [J]. PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MICROELECTRONICS, COMPUTING AND COMMUNICATION SYSTEMS, MCCS 2018, 2019, 556 : 9 - 22
  • [45] Pairing Computation on Edwards Curves with High-Degree Twists
    Li, Liangze
    Wu, Hongfeng
    Zhang, Fan
    [J]. INFORMATION SECURITY AND CRYPTOLOGY, INSCRYPT 2013, 2014, 8567 : 185 - 200
  • [46] Tate pairing computation on the divisors of hyperelliptic curves of genus 2
    Lee, Eunjeong
    Lee, Yoonjin
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) : 1057 - 1073
  • [47] Fast computation of tate pairing using elliptic curves with prime subgroup order of proth form
    Su Z.
    Sun C.
    Li H.
    Ma J.
    [J]. Advances in Information Sciences and Service Sciences, 2011, 3 (07): : 384 - 393
  • [48] Efficient computation of Tate pairing in projective coordinate over general characteristic fields
    Chatterjee, S
    Sarkar, P
    Barua, R
    [J]. INFORMATION SECURITY AND CRYPTOLOGY - ICISC 2004, 2004, 3506 : 168 - 181
  • [49] CUSP FORMS OF WEIGHT ONE, QUARTIC RECIPROCITY AND ELLIPTIC-CURVES
    ISHII, N
    [J]. NAGOYA MATHEMATICAL JOURNAL, 1985, 98 (JUN) : 117 - 137
  • [50] Gridless computation using the unified coordinates
    Hui, W. H.
    Hu, J. J.
    Zhao, G. P.
    [J]. COMPUTATIONAL FLUID DYNAMICS 2004, PROCEEDINGS, 2006, : 503 - +
12345