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We have designed three fast implementations of a recently proposed family of hash functions Edon–. They produce message digests of length bits and project security of hash computations for finding collisions and hash computations for finding preimages and second preimages. The design is not the classical Merkle-Damgård but can be seen as wide-pipe iterated compression function. Moreover the design is based on using huge quasigroups of orders , and that are constructed by using only bitwise...
A non-regular primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its nontrivial orbits. Let be a nontrivial finite regular linear space and Suppose that is extremely primitive on points and let rank be the rank of on points. We prove that rank with few exceptions. Moreover, we show that is neither a sporadic group nor an alternating group, and with a Fermat prime if is a finite classical simple group.
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