A digital signature scheme based on random error-correcting codes

1997 ◽  
pp. 161-167 ◽  
Author(s):  
G. Kabatianskii ◽  
E. Krouk ◽  
B. Smeets
Keyword(s):  
Digital Signature ◽  
Random Error ◽  
Error Correcting Codes ◽  
Signature Scheme ◽  
Digital Signature Scheme

scholarly journals Improvement to Nyang-Song fast digital signature scheme

1997 ◽  
Vol 33 (22) ◽  
pp. 1861 ◽  
Author(s):  
Wei-Hua He ◽  
Tzong-Chen Wu
Keyword(s):  
Digital Signature ◽  
Signature Scheme ◽  
Digital Signature Scheme

scholarly journals Digital signature scheme on the 2 x 2 matrix algebra

2021 ◽  
Vol 17 (3) ◽  
pp. 254-261
Author(s):  
Nikolay A. Moldovyan ◽  
◽  
Alexandr A. Moldovyan ◽  
Keyword(s):  
Digital Signature ◽  
High Performance ◽  
Matrix Algebra ◽  
Multiplicative Group ◽  
Discrete Logarithm ◽  
Signature Scheme ◽  
The Public ◽  
Signature Generation ◽  
Commutative Subalgebras ◽  
Digital Signature Scheme

The article considers the structure of the 2x2 matrix algebra set over a ground finite field GF(p). It is shown that this algebra contains three types of commutative subalgebras of order p2, which differ in the value of the order of their multiplicative group. Formulas describing the number of subalgebras of every type are derived. A new post-quantum digital signature scheme is introduced based on a novel form of the hidden discrete logarithm problem. The scheme is characterized in using scalar multiplication as an additional operation masking the hidden cyclic group in which the basic exponentiation operation is performed when generating the public key. The advantage of the developed signature scheme is the comparatively high performance of the signature generation and verification algorithms as well as the possibility to implement a blind signature protocol on its base.

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