Advances and Applications in Discrete Mathematics
Volume 12, Issue 2, Pages 207 - 215
(October 2013)
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TWO NEW CLASSES OF NEAR PERFECT NONLINEAR FUNCTIONS
Bin Wen
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Abstract: Functions with high nonlinearity have been an instrumental tool not only in algebra and finite geometries but also in combinatorics, coding theory and cryptography as well. Near perfect nonlinear (NPN) functions were introduced recently by Wen et al. [5], which can be viewed as an extension of perfect nonlinear (PN) function. In this paper, we present two constructions of NPN function and obtain new classes of NPN functions. |
Keywords and phrases: NPN function, sequence, difference-balanced property, trace function. |
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