Algebraic properties of generalized Rijndael-like ciphers
| Autor: | Matthew C. Cole, Kevin W. Bombardier, Liljana Babinkostova, Thomas Morrell, Cory B. Scott |
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| Rok vydání: | 2014 |
| Předmět: |
Discrete mathematics
Computer Networks and Communications business.industry Group (mathematics) Applied Mathematics 010102 general mathematics Advanced Encryption Standard Alternating group 02 engineering and technology Composition (combinatorics) 01 natural sciences Computational Mathematics Multiple encryption Finite field Computational Theory and Mathematics Symmetric group 0202 electrical engineering electronic engineering information engineering State space 020201 artificial intelligence & image processing 0101 mathematics business Mathematics |
| Zdroj: | Groups Complexity Cryptology. 6 |
| ISSN: | 1869-6104 1867-1144 |
| DOI: | 10.1515/gcc-2014-0004 |
| Popis: | We provide conditions under which the set of Rijndael-like functions considered as permutations of the state space and based on operations of the finite field GF(p k ) (p ≥ 2) is not closed under functional composition. These conditions justify using a sequential multiple encryption to strengthen generalized Rijndael like ciphers. In (39), R. Sparr and R. Wernsdorf provided conditions under which the group generated by the Rijndael-like round functions based on operations of the finite field GF(2 k ) is equal to the alternating group on the state space. In this paper we provide conditions under which the group generated by the Rijndael-like round functions based on operations of the finite field GF(p k ) (p ≥ 2) is equal to the symmetric group or the alternating group on the state space. |
| Databáze: | OpenAIRE |
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