On one-to-one property of a vectorial Boolean function of the special type
S-boxes are widely used in cryptography. In particular, they form important components of SP and Feistel networks. Mathematically, S-box is a vectorial Boolean function F : Fn ^ F^ that should satisfy several cryptographic properties. Usually n = m. We study one-to-one property of a vectorial Boolean function constructed in a special way on the base of a Boolean function and a permutation on n elements. The number of all one-to-one functions of this type is calculated.
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Keywords
Boolean function, vectorial Boolean function, S-box, булева функция, векторная булева функция, S-блокAuthors
| Name | Organization | |
| Zapolskiy M. M. | Novosibirsk State University | m.zapolskii@g.nsu.ru |
| Tokareva N. N. | S. L. Sobolev Institute of Mathematics SB RAS; Novosibirsk State University | tokareva@math.nsc.ru |
References
On one-to-one property of a vectorial Boolean function of the special type | Applied Discrete Mathematics. Supplement. 2020. № 13. DOI: 10.17223/2226308X/13/12
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