An Efficient Algorithm for Simultaneous Elliptic Curve Scalar Multiplication

  • Kim, Ki-Hyung (School of Electrical Engineering and Computer Science, Kyungpook National Univ.) ;
  • Ha, Jae-Cheol (Division of Information Science, Korea Nazarene Univ.) ;
  • Moon, Sang-Jae (School of Electrical Engineering and Computer Science, Kyungpook National Univ.)
  • Published : 2003.12.01

Abstract

This paper introduces a new joint signed expansion method for computing simultaneous scalar multiplication on an elliptic curve and a modified binary algorithm for efficient use of the new expansion method. The proposed expansion method can be also be used in cryptosystems such as RSA and EIGamal cryptosystems.

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