Inducing the 4-Q Operation in the Elliptic Curve Cryptography Algorithms

  • Moon, San-Gook (Mokwon University, School of Information, Electronics, and Image Engineering)
  • Published : 2005.05.27

Abstract

The scalar point multiplication operations is one of the most time-consuming components in elliptic curve cryptosystems. In this paper, we suggest how to induce the point-quadruple (4Q) operation by improving the double-and-add method, which has been a prevailing computing method for calculating the result of a scalar point multiplication. Induced and drived numerical expressions were evaluated and verified by a real application using C programming language. The induced algorithm can be applied to a various kind of calculations in elliptic curve operations more efficiently and by a faster implementation.

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