Title
Genetic algorithms evolving quasigroups with good pseudorandom properties
Abstract
Quasigroups are a well-known combinatorial design equivalent to more familiar Latin squares. Because all possible elements of a quasigroup occur with equal probability, it makes it an interesting tool for the application in computer security and for production of pseudorandom sequences. Prior implementations of quasigroups were based on look-up table of the quasigroup, on system of distinct representatives etc. Such representations are infeasible for large quasigroups. In contrast, presented analytic quasigroup can be implemented easily. It allows the generation of pseudorandom sequences without storing large amount of data (look-up table). The concept of isotopy enables consideration of many quasigroups and genetic algorithms allow efficient search for good ones.
Year
DOI
Venue
2010
10.1007/978-3-642-12179-1_39
ICCSA (3)
Keywords
Field
DocType
familiar latin square,equal probability,pseudorandom sequence,genetic algorithm,efficient search,computer security,look-up table,large amount,good pseudorandom property,distinct representative,large quasigroups,analytic quasigroup,random sequence,look up table,combinatorial design,latin square
Lookup table,Mathematical optimization,Computer science,Algorithm,Theoretical computer science,Stream cipher,Combinatorial design,Hash function,Isotopy,Quasigroup,Genetic algorithm,Pseudorandom number generator
Conference
Volume
ISSN
ISBN
6018
0302-9743
3-642-12178-0
Citations 
PageRank 
References 
3
0.45
7
Authors
6
Name
Order
Citations
PageRank
Václav Snasel11261210.53
Jiří Dvorský26417.43
Eliška Ochodková3307.54
Krömer Pavel433059.99
Jan Platoš5517.89
Ajith Abraham68954729.23