%0 Journal Article %T Semi-Primitive Roots and Information Security %A Zhongqi Zhou %J Open Access Library Journal %V 12 %N 4 %P 1-15 %@ 2333-9721 %D 2025 %I Open Access Library %R 10.4236/oalib.1113181 %X In this paper, a new concept is proposed: semi-primitive root. The basic theory system of semi-primal roots is established, and the congruence equations and propositions of indefinite equations are solved by the theory of semi-primal roots. The security problem of using the same value to digitally sign multiple different information in discrete logarithm encryption is solved.
%K Semi-Primitive Roots %K Solving Congruence Equations %K Proving Propositions of Indeterminate Equations %K Encryption and Digital Signatures %K Information Security %U http://www.oalib.com/paper/6855010