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Tytuł pozycji:

A new design of the signature schemes based on the hidden discrete logarithm problem.

Tytuł :
A new design of the signature schemes based on the hidden discrete logarithm problem.
Autorzy :
Moldovyan, Dmitriy N.
Moldovyan, Alexandr A.
Moldovyan, Nikolay A.
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Temat :
NONCOMMUTATIVE algebras
ASSOCIATIVE algebras
LOGARITHMS
ABELIAN groups
EXPONENTIATION
COMMUTATIVE algebra
Źródło :
Quasigroups & Related Systems; 2021, Vol. 29 Issue 1, p97-106, 10p
Czasopismo naukowe
A new design of the signature scheme based on the computational complexity of the hidden discrete logarithm problem, which meets the criterion of elimination of periodicity associated with the value of the discrete logarithm, is introduced as a candidate for post-quantum public-key cryptoscheme. The used design criterion is oriented to provide security to the known and potential future quantum attacks. Three different 6-dimensional finite non-commutative associative algebras sets over the field GF(p) are considered as the algebraic support of the developed signature have algorithm that is characterized in using a commutative finite group possessing 2-dimensional cyclicity as a hidden group. Besides, the following two different types of masking operations are applied: i) operations that are mutual commutative with the exponentiation operation and ii) operations that are free of this property. [ABSTRACT FROM AUTHOR]
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