Title :
Special ideal ring A3 and cryptography
Author :
Hassib, My Hachem ; Chillali, Abdelhakim ; Elomary, Mohamed Abdou
Author_Institution :
FSTE, Moulay Ismail Univ., Errachidia, Morocco
Abstract :
In [1] and [2] we defined the elliptic curve over the ring F3d[ε],ε2 = 0. In this work we will give some properties of the elliptic curve over the special ideal ring of characteristic 3, A3 = F3d[ε],ε3 = 0, and an application in cryptography. Our future work will focus on the study of the general case of these rings, which seem to be beneficial and interesting in cryptography, specially the one based on the identity (IBE) [6]. [7], [8].
Keywords :
public key cryptography; cryptography; elliptic curve; special ideal ring; Cryptography; Elliptic curves; Equations; Indexes; Large Hadron Collider; Vectors; Elliptic curve; characteristic 3; cryptography; finite ring;
Conference_Titel :
Security Days (JNS3), 2013 National
Conference_Location :
Rabat
Print_ISBN :
978-1-4799-0322-1
DOI :
10.1109/JNS3.2013.6595474
