Results 21 to 30 of about 207 (37)

Non-associative key establishment for left distributive systems

open access: yes, 2013
We construct non-associative key establishment protocols for all left self-distributive (LD), multi-LD-, and other left distributive systems. Instantiations of these protocols using generalized shifted conjugacy in braid groups lead to instances of a ...
Kalka, Arkadius, Teicher, Mina
core   +1 more source

Iterated LD-Problem in non-associative key establishment [PDF]

open access: yes, 2013
We construct new non-associative key establishment protocols for all left self-distributive (LD), multi-LD-, and mutual LD-systems. The hardness of these protocols relies on variations of the (simultaneous) iterated LD-problem and its generalizations. We
Kalka, Arkadius, Teicher, Mina
core  

Free augmented LD-systems

open access: yes, 2005
Define an augmented LD-system, or ALD-system, to be a set equipped with two binary operations, one satisfying the left self-distributivity law $x * (y * z) = (x * y) * (x * z)$ and the other satisfying the mixed laws $(x o y) * z = x * (y * z)$ and $x * (
Dehornoy, Patrick
core   +1 more source

Connected quandles and transitive groups

open access: yes, 2015
We establish a canonical correspondence between connected quandles and certain configurations in transitive groups, called quandle envelopes. This correspondence allows us to efficiently enumerate connected quandles of small orders, and present new ...
Hulpke, Alexander   +2 more
core  

Using groups for investigating rewrite systems

open access: yes, 2006
We describe several technical tools that prove to be efficient for investigating the rewrite systems associated with a family of algebraic laws, and might be useful for more general rewrite systems.
Dehornoy, Patrick
core   +3 more sources

Fuzzy rank functions in the set of all binary systems. [PDF]

open access: yesSpringerplus, 2016
Kim HS, Neggers J, So KS.
europepmc   +1 more source

Distributive implication groupoids

open access: yesOpen Mathematics, 2007
Chajda Ivan, Halaš Radomir
doaj   +1 more source

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