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pohlig-hellman algorithm  (Pohlig GmbH)

 
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    Pohlig GmbH pohlig-hellman algorithm
    Pohlig Hellman Algorithm, supplied by Pohlig GmbH, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/rhon++algorithm/pohlig+hellman+algorithm/us08437473-204-44-6
    Average 90 stars, based on 1 article reviews
    pohlig-hellman algorithm - by Bioz Stars, 2026-11
    90/100 stars

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    Article Title: Blockchain based access control using time-dependent obfuscation of access tokens
    Article Snippet: . . +mn′ainX′=miX=miX′=mi(X+X′) =mi(P0+T+P1−T)=mi(P0+P1)=mi·P Since the order of P is smooth integer, the Pohlig-Hellman algorithm allows efficiently solve discrete logarithm over P revealing the original data m. 2 Variants of Attacks on Reading Schema 2.1 Attack on A−1 Subattack on di, fi or di′, fi′.

    Article Title: Linear Algebra on Parallel Structures Using Wiedemann Algorithm to Solve Discrete Logarithm Problem
    Article Snippet: Discrete logarithm problem, popularly known as DLP has been the heart of many Public Key Infrastructures that are being used today.. DLP belongs to the category of hard problems.. Many ideas have been proposed to solve DLP.

    Article Title: Blockchain based access control using time-dependent obfuscation of access tokens
    Article Snippet: Frade i calculates Wi=diVi+di′Vi′+liFi and solves discrete logarithm problem ti·P=Wi with the Pohlig-Hellman algorithm.

    Article Title: A new quantum-safe multivariate polynomial public key digital signature algorithm
    Article Snippet: Assuming DLP in a group GF ( n ), where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n = uv$$\end{document} n = u v , if one knows u and v , one might reduce DLP to a smaller DLP using the Chinese Remainder Theorem and Pohlig–Hellman algorithm.

    Article Title: Blockchain based access control using time-dependent obfuscation of access tokens
    Article Snippet: Application of the Pohlig-Hellman algorithm allows arrival at the original requested data [1,2] since 1. (1,1)=(1,1) and 2.(1,1)=(2,40).

    Article Title: Broadcasting in supersingular isogeny-based cryptosystems
    Article Snippet: As one example, Alice may generate a random basis {R, S} for the torsion subgroup EA [lAeA], then apply the variant of the Pohlig-Hellman algorithm that applies to solving the elliptic curve discrete logarithm problem to compute the values c and d. As another example, Alice may generate a random point R with order lAeA which is independent from φA(QA), and a random integer 0AeA; then let S be a linear combination of R and φA(QA) (e.g., let S=φA(QA)−dR, so that c=1).

    Article Title: Obtaining keys from broadcasters in supersingular isogeny-based cryptosystems
    Article Snippet: As one example, Alice may generate a random basis {R, S} for the torsion subgroup EA[lAeA], then apply the variant of the Pohlig-Hellman algorithm that applies to solving the elliptic curve discrete logarithm problem to compute the values c and d. As another example, Alice may generate a random point R with order lAeA which is independent from φA(QA), and a random integer 0AeA; then let S be a linear combination of R and φA(QA) (e.g., let S=φA(QA)−dR, so that c=1).

    Article Title: Architecture and method for hybrid isogeny-based cryptosystems
    Article Snippet: As those knowledgeable in the art will appreciate, the elliptic curve used for SIDH is weak to discrete-logarithm attacks such as the Pohlig-Hellman algorithm.



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