On the construction of bent vectorial functions (Q622777)
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scientific article; zbMATH DE number 5845403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the construction of bent vectorial functions |
scientific article; zbMATH DE number 5845403 |
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On the construction of bent vectorial functions (English)
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4 February 2011
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Summary: This paper is devoted to the constructions of bent vectorial functions, that is, maximally non-linear multi-output Boolean functions. Such functions contribute to an optimal resistance to both linear and differential attacks of those cryptosystems in which they are involved as substitution boxes (S-boxes). We survey, study more in details and generalise the known primary and secondary constructions of bent functions, and we introduce new ones.
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block ciphers
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S-box
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vectorial functions
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bent functions
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Walsh-Hadamard transform
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nonlinear Boolean functions
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multi-output Boolean functions
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linear attacks
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differential attacks
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cryptosystems
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substitution boxes
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cryptography
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security
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