Open AccessPOST-QUANTUM BLIND SIGNATURE PROTOCOL ON NON-COMMUTATIVE ALGEBRAS
Author(s) -
Minh N.H,
Moldovyan D.N
Publication year - 2021
Publication title -
journal of computer science and cybernetics (vietnam academy of science and technology)/journal of computer science and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2815-5939
pISSN - 1813-9663
DOI - 10.15625/1813-9663/37/4/16023
Subject(s) - signature (topology) , commutative property , mathematics , associative property , blind signature , finite field , protocol (science) , discrete logarithm , pure mathematics , non associative algebra , algebraic number , associative algebra , field (mathematics) , algebra over a field , discrete mathematics , algebra representation , computer science , division algebra , public key cryptography , mathematical analysis , medicine , encryption , geometry , alternative medicine , pathology , operating system
A method for constructing a blind signature scheme based on a hidden discrete logarithm problem defined in finite non-commutative associative algebras is proposed. Blind signature protocols are constructed using four-dimensional and six-dimensional algebras defined over a ground finite field GF(p) and containing a global two-sided unit as an algebraic support. The basic properties of the used algebra, which determine the choice of protocol parameters, are described.