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Finite Non-commutative Associative Algebras for Setting the Hidden Discrete Logarithm Problem and Post-quantum Cryptoschemes on its Base
Authors: N.A. Moldovyan
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Abstract
The paper considers finite non-commutative associative algebras every of which contains a large set of the global one-sided (right and left) units. Formulas describing all of the global units are derived for each of the algebras. Finite algebras of such type are introduced as carriers of the hidden discrete logarithm problem that is defined in three new forms. One of them is used to design the post-quantum cryptoscheme for public key-distribution. Two others are applied to design the post- quantum digital signature schemes.St.Petersburg Institute for Informatics and Automation
of Russian Academy of Sciences
14-th line 39, 199178, St.Petersburg
Russia
E-mail:
of Russian Academy of Sciences
14-th line 39, 199178, St.Petersburg
Russia
E-mail:
Fulltext
– 0.11 Mb
Contents
- Finite 2-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups
- n-Torsion Regular Rings
- On invariant submanifolds of S-manifolds
- On fully idempotent semimodules
- On generalization of the notion of Moufang loop to n-ary case
- Finite Non-commutative Associative Algebras for Setting the Hidden Discrete Logarithm Problem and Post-quantum Cryptoschemes on its Base
- On the number of topologies on countable fields
- Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two
- A note on almost contact metric 2- and 3-hypersurfaces in W_4-manifolds
- Morita contexts and closure operators in modules
- Examples of bipartite graphs which are not cyclically-interval colorable
- Academician Vladimir Arnautov 80th anniversary
