Search results for: A. Basiri
4 A New Method for Computing the Inverse Ideal in a Coordinate Ring
Authors: Abdolali Basiri
Abstract:
In this paper we present an efficient method for inverting an ideal in the ideal class group of a Cab curve by extending the method which is presented in [3]. More precisely we introduce a useful generator for the inverse ideal as a K[X]-module.
Keywords: Cab Curves, Ideal Class Group
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 10023 A New Implementation of Miura-Arita Algorithm for Miura Curves
Authors: A. Basiri, S. Rahmany, D. Khatibi
Abstract:
The aim of this paper is to review some of standard fact on Miura curves. We give some easy theorem in number theory to define Miura curves, then we present a new implementation of Arita algorithm for Miura curves.
Keywords: Miura curve, discrete logarithm problem, algebraic curve cryptography, Jacobian group.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 14192 Computing SAGB-Gröbner Basis of Ideals of Invariant Rings by Using Gaussian Elimination
Authors: Sajjad Rahmany, Abdolali Basiri
Abstract:
The link between Gröbner basis and linear algebra was described by Lazard [4,5] where he realized the Gr┬¿obner basis computation could be archived by applying Gaussian elimination over Macaulay-s matrix . In this paper, we indicate how same technique may be used to SAGBI- Gröbner basis computations in invariant rings.Keywords: Gröbner basis, SAGBI- Gröbner basis, reduction, Invariant ring, permutation groups.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 29491 Some Applications of Gröbner bases
Authors: Hassan Noori, Abdolali Basiri, Sajjad Rahmany
Abstract:
In this paper we will introduce a brief introduction to theory of Gr¨obner bases and some applications of Gr¨obner bases to graph coloring problem, automatic geometric theorem proving and cryptography.Keywords: Gr¨obner bases, Application of Gr¨obner bases, Automatic Geometric Theorem Proving, Graph Coloring, Cryptography.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 4859