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Possible spell-corrected query: most Quantum cryptography
2021/423 (PDF) Last updated: 2021-04-06
On effective computations in special subsemigroups of polynomial transformations and protocol based multivariate cryptosystems
Vasyl Ustimenko
Foundations

Large semigroups and groups of transformations of finite affine space of dimension n with the option of computability of the composition of n arbitrarily chosen elements in polynomial time are described in the paper. Constructions of such families are given together with effectively computed homomorphisms between members of the family. These algebraic platforms allow us to define protocols for several generators of subsemigroup of affine Cremona semigroups with several outputs. Security of...

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