Research Article
On Second-Order Nonlinearities of Two Classes of Cubic Boolean Functions
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@INPROCEEDINGS{10.1007/978-3-642-37949-9_49, author={Deep Singh and Maheshanand Bhaintwal}, title={On Second-Order Nonlinearities of Two Classes of Cubic Boolean Functions}, proceedings={Quality, Reliability, Security and Robustness in Heterogeneous Networks. 9th International Conference, QShine 2013, Greader Noida, India, January 11-12, 2013, Revised Selected Papers}, proceedings_a={QSHINE}, year={2013}, month={7}, keywords={Boolean functions Walsh-Hadamard transform Nonlinearity Reed-Muller codes}, doi={10.1007/978-3-642-37949-9_49} }- Deep Singh
Maheshanand Bhaintwal
Year: 2013
On Second-Order Nonlinearities of Two Classes of Cubic Boolean Functions
QSHINE
Springer
DOI: 10.1007/978-3-642-37949-9_49
Abstract
The higher order nonlinearity of a Boolean function is a cryptographic criterion, which plays an important role in the design of secure block ciphers and stream ciphers. In this paper, we obtain lower bounds of second-order nonlinearities of two classes of highly nonlinear cubic Boolean functions of the form , for = 3 and = 5 by investigating the lower bounds of the first order nonlinearity of their derivatives.
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