Title :
Construction and Counting Orthomorphism Based on Transversal
Author :
Liu Qi ; Zhang Yin ; Chen Cheng ; Lv Shuwang
Author_Institution :
Dept. of Electron. Sci. & Technol., Univ. of Sci. & Technol. of China, Hefei, China
Abstract :
This paper mainly discussed the properties of orthomorphic latin square, the equivalent relation between orthomorphism and orthomorphic latin square transversal, proposed a constructing method of orthomorphism by orthomorphic latin square transversal, counted the number of orthomorphisms and obtained a better lower bound of orthomorphisms.
Keywords :
cryptography; matrix algebra; set theory; cryptography; matrix algebra; orthomorphic latin square transversal; orthomorphism construction; orthomorphism counting; set theory; Algorithm design and analysis; Computational intelligence; Cryptography; Government; Information security; Laboratories; Space technology; Block-Class; Latin Square; Transversal;
Conference_Titel :
Computational Intelligence and Security, 2008. CIS '08. International Conference on
Conference_Location :
Suzhou
Print_ISBN :
978-0-7695-3508-1
DOI :
10.1109/CIS.2008.195
