Title :
On some properties of Boolean matrices from Latin squares
Author :
Ødegård, Rune Steinsmo ; Mihova, Marija ; Gligoroski, Danilo
Author_Institution :
Centre for Quantifiable Quality of Service in Commun. Syst., Norwegian Univ. of Sci. & Technol., Trondheim, Norway
Abstract :
Edon-R is one of the candidate hash functions for the ongoing NIST competition for the next cryptographic hash standard called SHA-3. Its construction is based on algebraic properties of non-commutative and non-associative quasigroups of orders 2256 and 2512. In this paper we are giving some of our results in investigation of the mathematical properties of the quasigroups used in Edon-R.
Keywords :
Boolean algebra; cryptography; group theory; matrix algebra; Boolean matrix; Edon-R; Latin square; SHA-3; candidate hash function; cryptographic hash standard; nonassociative quasigroup; noncommutative quasigroup; Concrete; Conferences; Cryptography; Equations; Indexes; NIST;
Conference_Titel :
Security and Communication Networks (IWSCN), 2009 Proceedings of the 1st International Workshop on
Conference_Location :
Trondheim
Print_ISBN :
978-1-61284-168-7
Electronic_ISBN :
978-82-997105-1-0
