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Tangent Function and Chebyshev-Like Rational Maps Over Finite Fields.
- Source :
- IEEE Transactions on Circuits & Systems. Part II: Express Briefs; Apr2020, Vol. 67 Issue 4, p775-779, 5p
- Publication Year :
- 2020
-
Abstract
- The main contribution of this brief is the introduction and the characterization of a novel Chebyshev-like rational map over finite fields. The referred map is identified as $t$ -Chebyshev map and depends on the definition of a finite field tangent function, which is also proposed. Among other new and interesting results, we demonstrate that the semigroup property holds for $t$ -Chebyshev maps and give a necessary and sufficient condition under which one of such maps induces a permutation on the set of elements of a field $\mathbb {F}_{q}$. This makes these maps suitable for practical use in both public- and secret-key cryptography. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15497747
- Volume :
- 67
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Circuits & Systems. Part II: Express Briefs
- Publication Type :
- Academic Journal
- Accession number :
- 142452495
- Full Text :
- https://doi.org/10.1109/TCSII.2019.2923879