Abstract. We provide the first construction of a hash function into ordinary elliptic curves that is indifferentiable from a random oracle, based on Icart's deterministic enco...
Three main methods with favorable security and efficiency can be considered in the design of cryptosystems. These methods are integer factorization systems (of which RSA is the be...
We present an innovative technique to add elliptic curve points with the form P Q± , and discuss its application to the generation of precomputed tables for the scalar multiplicat...
Abstract. Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant-Lambert-Vanstone (GLV) method. Iijima, Matsuo, Chao and...
The Ate pairing has been suggested since it can be computed efficiently on ordinary elliptic curves with small values of the traces of Frobenius t. However, not all pairing-friendl...