@article {762,
	title = {Public Key Cryptosystem and Binary Edwards Curves on the Ring},
	journal = {Journal of Digital Information Management},
	volume = {20},
	year = {2022},
	month = {03/2022},
	pages = {25-30},
	type = {Research},
	chapter = {25},
	abstract = {<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>
},
	doi = {https://doi.org/10.6025/jdim/2022/20/1/25-30},
	url = {http://www.dline.info/download.php?sn=3450},
	author = {Moha ben taleb Elhamam}
}
