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DES-like functions can generate the alternating group

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2 Author(s)

A set of transformations on binary vectors of length n is defined. These transformations are similar to those of the data encryption standard (DES) and therefore are called DES-like functions. It is proved that the group of permutations generated by the DES-like functions is exactly the alternating group of the set of binary n vectors.

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Information Theory, IEEE Transactions on  (Volume:29 ,  Issue: 6 )