Boomerang uniformity of a class of power maps
| Autor: | Sartaj Ul Hasan, Pantelimon Stanica, Mohit Pal |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Discrete mathematics
FOS: Computer and information sciences Class (set theory) Physics::General Physics Computer Science - Information Theory Applied Mathematics Differential uniformity Mathematics::Number Theory Information Theory (cs.IT) Astrophysics::Cosmology and Extragalactic Astrophysics Computer Science Applications Power (physics) Finite field 12E20 11T06 94A60 Mathematics |
| DOI: | 10.48550/arxiv.2105.04284 |
| Popis: | We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that its boomerang uniformity over the finite field $\F_{2^n}$ is $2$ and $4$, when $n \equiv 0 \pmod 4$ and $n \equiv 2 \pmod 4$, respectively. As a consequence, we show that for this class of power maps, the differential uniformity is strictly greater than its boomerang uniformity. Comment: 11 pages |
| Databáze: | OpenAIRE |
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