Generalized Vector Bent Functions

Zhang Wen-ying; Wu Chuan-kun; Huang Xiao-ying; Li Shi-qu

Volume 27 Issue 1

Jan. 2005

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Zhang Wen-ying, Wu Chuan-kun, Huang Xiao-ying, Li Shi-qu. Generalized Vector Bent Functions[J]. Journal of Electronics & Information Technology, 2005, 27(1): 119-122.

Citation:

Zhang Wen-ying, Wu Chuan-kun, Huang Xiao-ying, Li Shi-qu. Generalized Vector Bent Functions[J]. Journal of Electronics & Information Technology, 2005, 27(1): 119-122.

Zhang Wen-ying, Wu Chuan-kun, Huang Xiao-ying, Li Shi-qu. Generalized Vector Bent Functions[J]. Journal of Electronics & Information Technology, 2005, 27(1): 119-122.

Citation:

Zhang Wen-ying, Wu Chuan-kun, Huang Xiao-ying, Li Shi-qu. Generalized Vector Bent Functions[J]. Journal of Electronics & Information Technology, 2005, 27(1): 119-122.

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Generalized Vector Bent Functions

Received Date: 2003-08-12
Rev Recd Date: 2003-12-25
Publish Date: 2005-01-19

Abstract

Abstract

This paper generalizes the conclusion of Perfect nonlinear S-boxes by Nyberg(1991), and introduces the conception of inverse regular generalized vector Bent function. It shows that for inverse regular generalized vector Bent function f(m) with even variables, m is no more than half of?. It also shows that when the input dimension n is odd, the regular generalized vector Bent function and the inverse regular generalized vector Bent function do not exist. This may prevent the cryptology designer from seeking the inexistent function. A method for recursively constructing vector generalized Bent function is presented.

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References(1)

References

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