Every cubic Boolean function in 8 variables is the sum of not more than 4 bent functions
It is shown that any cubic Boolean function in 8 variables is the sum of not more than 4 bent functions in 8 variables.
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Keywords
bent function, cubic Boolean function, affine classificationAuthors
Name | Organization | |
Tokareva N. N. | tokareva@math.nsc.ru |
References
1. Tokareva N. N. On the number of bent functions from iterative constructions: lower bounds and hypotheses // Advances Math. Comm. (AMC). 2011. V.5. Iss.4. P. 609-621.
2. Qu L. and Li C. When a Boolean function can be expressed as the sum of two bent functions // Cryptology ePrint Archive. 2014/048.
3. Logachev O.A., Sal'nikov A. A., Smyshlyaev S. V., and Yashenko V. V. Boolean functions in coding theory and cryptology. Moscow center for the uninter. math. education, 2012. 584 p. (in Russian)
