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Semi-Primitive Roots and Information Security

DOI: 10.4236/oalib.1113181, PP. 1-15

Subject Areas: Mathematics, Integral Equation, Number Theory

Keywords: Semi-Primitive Roots, Solving Congruence Equations, Proving Propositions of Indeterminate Equations, Encryption and Digital Signatures, Information Security

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Abstract

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.

Cite this paper

Zhou, Z. (2025). Semi-Primitive Roots and Information Security. Open Access Library Journal, 12, e3181. doi: http://dx.doi.org/10.4236/oalib.1113181.

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