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2013 (Vol. 5, Issue: 05)
Article Information:

The Linear Orthomorphisms on the Ring Zn

Haiqing Han, Yazhou Xiong and Siru Zhu
Corresponding Author:  Yazhou Xiong 

Key words:  Linear orthomorphisms, orthomorphic matrix, the integer residue class ring, the orthomorphisms , , ,
Vol. 5 , (05): 1848-1852
Submitted Accepted Published
August 11, 2012 September 03, 2012 February 11, 2013

Linear orthomorphism has the well diffusibility, which can be used to design P-permutation in cryptography. This paper presents the definition of the linear orthomorphisms and orthomorphic matrices on the integer residue class ring, whose counting formulas have been obtained too. They have provided a theoretical basis to research the nature of orthomorphisms on the ring in the cryptography.
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  Cite this Reference:
Haiqing Han, Yazhou Xiong and Siru Zhu, 2013. The Linear Orthomorphisms on the Ring Zn.  Research Journal of Applied Sciences, Engineering and Technology, 5(05): 1848-1852.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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