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Tinani et al., 2022 - Google Patents

A deterministic algorithm for the discrete logarithm problem in a semigroup

Tinani et al., 2022

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Document ID
7996617095188347559
Author
Tinani S
Rosenthal J
Publication year
Publication venue
Journal of Mathematical Cryptology

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Snippet

The discrete logarithm problem (DLP) in a finite group is the basis for many protocols in cryptography. The best general algorithms which solve this problem have a time complexity of O (N log N) and a space complexity of O (N), where N is the order of the group.(If N is …
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    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724Finite field arithmetic
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