On the choice of algebraic carrier for digital signature schemes on non-commutative algebras

2021 ◽  
pp. 39-44
Author(s):  
A. B. Levina ◽  
A. A. Moldovyan
2020 ◽  
Vol 4 ◽  
pp. 75-82
Author(s):  
D.Yu. Guryanov ◽  
◽  
D.N. Moldovyan ◽  
A. A. Moldovyan ◽  

For the construction of post-quantum digital signature schemes that satisfy the strengthened criterion of resistance to quantum attacks, an algebraic carrier is proposed that allows one to define a hidden commutative group with two-dimensional cyclicity. Formulas are obtained that describe the set of elements that are permutable with a given fixed element. A post-quantum signature scheme based on the considered finite non-commutative associative algebra is described.


2021 ◽  
pp. 30-36
Author(s):  
A. A. Moldovyan ◽  
N. A. Moldovyan ◽  
D. N. Moldovyan ◽  
R. Sh. Fakhrutdinov

2017 ◽  
pp. 247-256 ◽  
Author(s):  
D.Y.W. Liu ◽  
G.Z. Xue ◽  
Y. Xie ◽  
X.P. Luo ◽  
M.H. Au

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