Recently, two-to-one mappings have received a lot of attention due to their applications to cryptography and to the construction of classes of cryptographic functions. In this paper, we propose a new method to obtain m-to-1 functions based on Galois groups of rational functions. We feel that such an approach might be the starting point of a new line of research in the area of m-to-1 mappings. (C) 2021 Elsevier B.V. All rights reserved.

Two-to-one functions from Galois extensions

Bartoli, D;Giulietti, M;Timpanella, M
2022-01-01

Abstract

Recently, two-to-one mappings have received a lot of attention due to their applications to cryptography and to the construction of classes of cryptographic functions. In this paper, we propose a new method to obtain m-to-1 functions based on Galois groups of rational functions. We feel that such an approach might be the starting point of a new line of research in the area of m-to-1 mappings. (C) 2021 Elsevier B.V. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1537039
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