Cryptanalysis of Rédei- and Dickson permutations on arbitrary finite rings (Q1803559)
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scientific article; zbMATH DE number 221183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cryptanalysis of Rédei- and Dickson permutations on arbitrary finite rings |
scientific article; zbMATH DE number 221183 |
Statements
Cryptanalysis of Rédei- and Dickson permutations on arbitrary finite rings (English)
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29 June 1993
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The author establishes results on the group structure, the number of fixed points, and the cycle lengths of Rédei and Dickson permutations on arbitrary finite commutative rings with identity. This extends earlier work on such permutations for finite fields and residue class rings of the integers. The implications of these results for public-key cryptosystems based on Rédei and Dickson permutations are discussed in the last section.
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Rédei permutations
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Dickson polynomial
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Rédei function
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cycle length
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group structure
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number of fixed points
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Dickson permutations
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finite commutative rings with identity
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public-key cryptosystems
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