Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 3
Search results for: A. Chillali
3 Cryptography Over Sextic Extension with Cubic Subfield
Authors: A. Chillali, M. Sahmoudi
Abstract:
In this paper we will give a method for encoding the elements of the ring of integers of sextic extension, namely L = Q(a,b) which is a rational quadratic over cubic field K =Q(a) where a^{2} is a rational square free integer and b is a root of irreducible polynomiale of degree 3.Keywords: coding, integral bases, sextic, quadratic
Procedia PDF Downloads 2602 Improved of Elliptic Curves Cryptography over a Ring
Authors: Abdelhakim Chillali, Abdelhamid Tadmori, Muhammed Ziane
Abstract:
In this article we will study the elliptic curve defined over the ring An and we define the mathematical operations of ECC, which provides a high security and advantage for wireless applications compared to other asymmetric key cryptosystem.Keywords: elliptic curves, finite ring, cryptography, study
Procedia PDF Downloads 3461 Some Properties in Jordan Ideal on 3-Prime Near-Rings
Authors: Abdelkarim Boua, Abdelhakim Chillali
Abstract:
The study of non-associative structures in algebraic structures has become a separate entity; for, in the case of groups, their corresponding non-associative structure i.e. loops is dealt with separately. Similarly there is vast amount of research on the nonassociative structures of semigroups i.e. groupoids and that of rings i.e. nonassociative rings. However it is unfortunate that we do not have a parallel notions or study of non-associative near-rings. In this work we shall attempt to generalize a few known results and study the commutativity of Jordan ideal in 3-prime near-rings satisfying certain identities involving the Jordan ideal. We study the derivations satisfying certain differential identities on Jordan ideals of 3-prime near-rings. Moreover, we provide examples to show that hypothesis of our results are necessary. We give some new results and examples concerning the existence of Jordan ideal and derivations in near-rings. These near-rings can be used to build a new codes.Keywords: 3-prime near-rings, near-rings, Jordan ideal, derivations
Procedia PDF Downloads 274