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Article Information:
Generalized Linear Orthomorphisms
Haiqing Han, Yanping He and Siru Zhu
Corresponding Author: Yanping He
Submitted: August 11, 2012
Accepted: September 17, 2012
Published: April 05, 2013 |
Abstract:
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In this study, we generalize the conception of orthomorphisms and obtain a counting formula on the generalized linear orthomorphisms over the Galois field with the arbitrary prime number p as the characteristic. Thus the partial generation algorithm of generalized linear orthomorphisms is achieved. The counting formula of the linear orthomorphisms over the finite field with characteristic 2 is the special case in our results. Furthermore, the generalized linear orthomorphisms generated and discussed in this study can gain the maximum branch number when they are designed as P-permutations.
Key words: Block cipher, generalized linear orthomorphism, p-permutation, the branch number, , ,
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Cite this Reference:
Haiqing Han, Yanping He and Siru Zhu, . Generalized Linear Orthomorphisms. Research Journal of Applied Sciences, Engineering and Technology, (11): 3074-3078.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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