Improving scalar multiplication over elliptic curves

被引:0
|
作者
Ezzouak, Siham [1 ]
Azizi, Abdelmalek [2 ]
机构
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci, Lab LAGA, Fes, Morocco
[2] Univ Mohammed First, Fac Sci, Lab ACSA, Oujda, Morocco
关键词
D O I
10.1063/1.5090626
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The elliptic curves scalar multiplication has been paid much attention in the recent years, and one of major interests in this field is to improve algorithm for elliptic curve cryptosystem. In this paper, we give detailed study of the efficiency issues in scalar multiplication on the elliptic curves. In particular, we present the cost of group operation in several coordinate system and bases representation. Moreover, we show that more optimization can be achieved when better combination of coordinate choise and bases representation are performed.
引用
收藏
页数:8
相关论文
共 50 条
  • [2] Scalar Multiplication on Pairing Friendly Elliptic Curves
    Kanayama, Naoki
    Teruya, Tadanori
    Okamoto, Eiji
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2011, E94A (06) : 1285 - 1292
  • [3] Secure Outsourcing of Scalar Multiplication on Elliptic Curves
    Zhou, Kai
    Ren, Jian
    2016 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS (ICC), 2016,
  • [4] Parallelized scalar multiplication on elliptic curves defined over optimal extension field
    Lee, Jaewon
    Kim, Heeyoul
    Lee, Younho
    Hong, Seong-Min
    Yoon, Hyunsoo
    International Journal of Network Security, 2007, 4 (01) : 99 - 106
  • [5] Scalar multiplication on elliptic curves defined over fields of small odd characteristic
    Negre, C
    PROGRESS IN CRYPTOLOGY - INDOCRYPT 2005, PROCEEDINGS, 2005, 3797 : 389 - 402
  • [6] Randomized Windows for Secure Scalar Multiplication on Elliptic Curves
    Pontie, Simon
    Maistri, Paolo
    PROCEEDINGS OF THE 2014 IEEE 25TH INTERNATIONAL CONFERENCE ON APPLICATION-SPECIFIC SYSTEMS, ARCHITECTURES AND PROCESSORS (ASAP 2014), 2014, : 78 - +
  • [7] Design of a secure architecture for scalar multiplication on elliptic curves
    Pontie, Simon
    Maistri, Paolo
    2014 10TH CONFERENCE ON PH.D. RESEARCH IN MICROELECTRONICS AND ELECTRONICS (PRIME 2014), 2014,
  • [8] Elliptic Net Scalar Multiplication upon Koblitz Curves
    Muslim, N.
    Yunos, F.
    Razali, Z.
    Said, M. R. M.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2020, 14 (03): : 373 - 388
  • [9] Integer decomposition for fast scalar multiplication on elliptic curves
    Kim, D
    Lim, S
    SELECTED AREAS IN CRYPTOGRAPHY, 2003, 2595 : 13 - 20
  • [10] An efficient elliptic curves scalar multiplication for wireless network
    Wang, Bangju
    Zhang, Huanguo
    Wang, Yuhua
    2007 IFIP INTERNATIONAL CONFERENCE ON NETWORK AND PARALLEL COMPUTING WORKSHOPS, PROCEEDINGS, 2007, : 131 - 134