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National Repository of Grey Literature

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	Quasigroups, one-way functions and hash mappings Machek, Ivo ; Drápal, Aleš (advisor) ; Stanovský, David (referee) In the rst part of this work we study the complexity of solving nonlinear quasigroup equations for di erent classes of quasigroups. In particular we study the application of principle of central quasigroups on the blocks of congruence. We show that these quasigroups can be shapeless and therefore we gain counterexample to the hypothesis which was stated by D. Gligoroski. In the second part of this work we apply previous results on the concrete quasigroups of the type Edon-R-I,II and we deduce the complexity of the corresponding algorithm for inverting the hash function Edon-R. Detailed record
	Criteria of pseudorandomness Machek, Ivo ; Holub, Štěpán (advisor) ; Žemlička, Jan (referee) Detailed record
	Criteria of pseudorandomness Machek, Ivo ; Žemlička, Jan (referee) ; Holub, Štěpán (advisor) Detailed record
	Quasigroups, one-way functions and hash mappings Machek, Ivo ; Stanovský, David (referee) ; Drápal, Aleš (advisor) In the rst part of this work we study the complexity of solving nonlinear quasigroup equations for di erent classes of quasigroups. In particular we study the application of principle of central quasigroups on the blocks of congruence. We show that these quasigroups can be shapeless and therefore we gain counterexample to the hypothesis which was stated by D. Gligoroski. In the second part of this work we apply previous results on the concrete quasigroups of the type Edon-R-I,II and we deduce the complexity of the corresponding algorithm for inverting the hash function Edon-R. Detailed record

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