Distribution of the absolute indicator of random Boolean functions - Institut de Mathématiques de Luminy
Pré-Publication, Document De Travail Année : 2018

Distribution of the absolute indicator of random Boolean functions

Résumé

The absolute indicator is one of the measures used to determine the resistance offered by a Boolean function when used in the design of a symmetric cryptosystem. It was proposed along with the sum of square indicator to evaluate the quality of the diffusion property of block ciphers and hash functions. While the behaviour of the sum of square of random Boolean functions was already known, what remained was the study of the comportment of the absolute indicator of random Boolean functions. As an application, we show that the absolute indicator can distinguish a nonrandom binary sequence from a random one.
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Dates et versions

hal-01679358 , version 1 (09-01-2018)

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Florian Caullery, François Rodier. Distribution of the absolute indicator of random Boolean functions. 2018. ⟨hal-01679358⟩
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