On sets determining the differential spectrum of mappings (Q1664087)
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scientific article; zbMATH DE number 6924909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sets determining the differential spectrum of mappings |
scientific article; zbMATH DE number 6924909 |
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On sets determining the differential spectrum of mappings (English)
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24 August 2018
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Summary: In this paper, we study computational aspects for determining the differential uniformity of mappings on finite fields of characteristic 2. In particular, we show: (1) A mapping has differential uniformity 2 (i.e. it is almost perfect nonlinear) if and only if its difference mappings defined by the elements of a fixed hyperplane are 2-to-1. (2) For a large family of mappings of a special shape, it is enough to consider difference mappings defined by the elements from a suitable multiplicative subgroup.
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APN mappings
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bent function
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Boolean function
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cryptographic criteria
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differential uniformity
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hyperplane
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monomial binomial
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permutation
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