Title :
An efficient method of elliptic curve encryption using Ancient Indian Vedic Mathematics
Author :
Thapliyal, Himanshu ; Srinivas, M.B.
Author_Institution :
Centre for VLSI & Embedded Syst. Technol., Int. Inst. of Inf. Technol., Hyderabad
Abstract :
The major time consuming arithmetic operations in ECC are point additions and doubling. Exponentiation operations like square and cube are the major bottlenecks in the efficiency of point additions and doubling. This paper presents efficient hardware circuitry for point doubling using square algorithms of Ancient Indian Vedic Mathematics. In order to calculate the square of a number, "Duplex" D property of binary numbers is proposed
Keywords :
arithmetic codes; digital arithmetic; elliptic equations; public key cryptography; Ancient Indian Vedic Mathematics; Duplex D property; ECC; binary numbers; efficient hardware circuitry; elliptic curve encryption; exponentiation operation; point addition; point doubling; square algorithm; Arithmetic; Circuits; Elliptic curve cryptography; Elliptic curves; Embedded system; Equations; Hardware; Information technology; Mathematics; Very large scale integration;
Conference_Titel :
Circuits and Systems, 2005. 48th Midwest Symposium on
Conference_Location :
Covington, KY
Print_ISBN :
0-7803-9197-7
DOI :
10.1109/MWSCAS.2005.1594228
