Title of article :
On the applications of Extremal Graph Theory to Coding Theory and Cryptography
Author/Authors :
Polak، نويسنده , , Monika and Roma?czuk، نويسنده , , Urszula and Ustimenko، نويسنده , , Vasyl and Wr?blewska، نويسنده , , Aneta، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
Abstract :
Explicit constructions in Extremal graph theory give appropriate lower bound for Turan type problems. In the case of prohibited cycles explicit constructions can be used in various problems of Information Security. We observe algebraic constructions of regular graphs of large girth and graphs with large cycle indicator and describe some algorithms of Coding Theory and Cryptography based on such special families of graphs.
Keywords :
key exchange protocols , graphs of large cycle indicator , LDPC codes , graphs of large girth , multivariate cryptography , graph based stream ciphers
Journal title :
Electronic Notes in Discrete Mathematics
Journal title :
Electronic Notes in Discrete Mathematics