This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...
Pairing-based cryptosystems (PBC) have been attracted by researchers in cryptography. Some implementations show that PBC are relatively slower than the standard public key cryptosy...
Abstract--This paper proposes an FPGA-based applicationspecific elliptic curve processor over a prime field. This research targets applications for which compactness is more import...
Jo Vliegen, Nele Mentens, Jan Genoe, An Braeken, S...
We survey algorithms for computing isogenies between elliptic curves defined over a field of characteristic either 0 or a large prime. We introduce a new algorithm that computes an...