Abstract. There has been important progress in constructing units and Sunits associated to curves of genus 2 or 3. These approaches are based mainly on the consideration of propert...
Abstract. We propose a superscalar coprocessor for high-speed curvebased cryptography. It accelerates scalar multiplication by exploiting instruction-level parallelism (ILP) dynami...
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ï...
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
One of the recent thrust areas in research on hyperelliptic curve cryptography has been to obtain explicit formulae for performing arithmetic in the Jacobian of such curves. We con...