00989nas a2200133   4500008004100000245006600041210006600107260001200173300001000185490000700195520057700202100002900779856004700808       2022                        eng d00aPublic Key Cryptosystem and Binary Edwards Curves on the Ring0 aPublic Key Cryptosystem and Binary Edwards Curves on the Ring  c03/2022  a25-300 v203 a<p><span>&nbsp;Let be a finite ring of characteristic 2, where e2 = e and n is a positive integer. Let (a, d) 2 ( )2, such that a and d + a2 + a are invertible in , we study the binary Edwards curve over this ring, denoted by and we give a bijection between this curve and produces two binary Edwards curves defined on the finite field . Afterthat we study the addition law of binary Edwards curves over the ring . We end this work with cryptography applications, ElGamal twisted Edwards curve cryptosystem and Cramer-Shoup twisted Edwards curve cryptosystem.</span></p>
1 aElhamam, Moha, ben taleb  uhttp://www.dline.info/download.php?sn=3450