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Projects / Programmes source: ARIS

Kriptografija, računalniška varnost in algebraična kombinatorika (Slovene)

Research activity

Code Science Field Subfield
1.01.01  Natural sciences and mathematics  Mathematics  Analysis 

Code Science Field
P170  Natural sciences and mathematics  Computer science, numerical analysis, systems, control 
Keywords
Number Theory, Linear Algebra, Finite Fields, Cryptography, Coding Theory, Algebraic Geometry, Elliptic Curves, Coverings, Fundamental Group, Combinatorics, Algebraic Combinatorics, Association Schemes, Graph Theory, Design Theory, Configurations, Finite Geometries, Strongly-Regular Graphs, Distance-Regular Graphs, Antipodal Covers
Evaluation (rules)
source: COBISS
Researchers (1)
no. Code Name and surname Research area Role Period No. of publicationsNo. of publications
1.  08724  PhD Aleksandar Jurišić  Mathematics  Head  1999 - 2001  209 
Organisations (2)
no. Code Research organisation City Registration number No. of publicationsNo. of publications
1.  0101  Institute of Mathematics, Physics and Mechanics  Ljubljana  5055598000  19,658 
2.  1540  University of Nova Gorica  Nova Gorica  5920884000  13,886 
Abstract
This project explores the interplay between two areas of mathematics and computer science: algebraic combinatorics (distance-regular graphs, coding theory, association schemes), and cryptography (public cryptosystems related to elliptic curves). Common denumerator of these two areas are not just applied and discrete mathematics, finite fields and groups, but also a general ability of algebra and geometry to handle their problems. Studies of association schemes as well as elliptic curve cryptosystems are the ultimate cause of progress in these two areas and they are our final goal.
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