The joint sparse form (JSF) for the non-adjacent form (NAF) representation of two large integers a and b, was proposed by Solinas. Then Ciet extended it to the -JSF for the -NAF r...
Abstract. Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant-Lambert-Vanstone (GLV) method. Iijima, Matsuo, Chao and...
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
Let E be an elliptic curve defined over F2n . The inverse operation of point doubling, called point halving, can be done up to three times as fast as doubling. Some authors have t...
Roberto Maria Avanzi, Mathieu Ciet, Francesco Sica
Hoffstein and Silverman suggested the use of low Hamming weight product (LHWP) exponents to accelerate group exponentiation while maintaining the security level. With LHWP exponent...