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- W2137125369 abstract "†Summary In this work an algorithm is constructed that counts n! permutations in n-1 steps. Actually, the algorithm defines a bijective function from the natural numbers to the set of permutations. In addition, for any permutation πL defined over the positions of a string of length L, where L is a multiple of 3, this permutation may be constructed by means of 3 permutations over strings of length ⅔L. This allows for the definition of an iterative cryptosystem over blocks of 96 characters, with numbers in the range of 10 90 instead of 10 154 , approximately. It is also shown that the set of keys grows factorially, so that the number of elements of the set reaches 2 500 when working with strings of 96 characters. Finally, by means of an example the iterative cryptosystem using the DES boxes and strings of 96 characters is illustrated." @default.
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- W2137125369 date "2007-01-01" @default.
- W2137125369 modified "2023-10-13" @default.
- W2137125369 title "Bijective Function with Domain in N and Image in the Set of Permutations: An Application to Cryptography" @default.
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