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IJNSEC
2006
94views more  IJNSEC 2006»
13 years 7 months ago
A Binary Redundant Scalar Point Multiplication in Secure Elliptic Curve Cryptosystems
The main back-bone operation in elliptic curve cryptosystems is scalar point multiplication. The most frequently used method implementing the scalar point multiplication which is ...
Sangook Moon
CHES
2004
Springer
182views Cryptology» more  CHES 2004»
14 years 24 days ago
Pipelined Computation of Scalar Multiplication in Elliptic Curve Cryptosystems
In the current work we propose a pipelining scheme for implementing Elliptic Curve Cryptosystems (ECC). The scalar multiplication is the dominant operation in ECC. It is computed b...
Pradeep Kumar Mishra
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 8 months ago
Fast Multibase Methods and Other Several Optimizations for Elliptic Curve Scalar Multiplication
Recently, the new Multibase Non-Adjacent Form (mbNAF) method was introduced and shown to speed up the execution of the scalar multiplication with an efficient use of multiple bases...
Patrick Longa, Catherine H. Gebotys
IACR
2011
114views more  IACR 2011»
12 years 7 months ago
Faster Scalar Multiplication on Ordinary Weierstrass Elliptic Curves over Fields of Characteristic Three
Abstract. This paper proposes new explicit formulae for the point doubling, tripling and addition on ordinary Weierstrass elliptic curves with a point of order 3 over finite fiel...
Hongfeng Wu, Changan Zhao