Solving a class of modular polynomial equations and its relation to modular inversion hidden number problem and inversive congruential generator

DOI10.1007/s10623-017-0435-4zbMath1411.94092OpenAlexW2767910986MaRDI QIDQ1650812

Lei Hu, Zhangjie Huang, Santanu Sarkar, Jun Xu, Liqiang Peng

Publication date: 13 July 2018

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-017-0435-4

zbMATH Keywords

latticeLLL algorithmCoppersmith's techniqueinversive congruential generatormodular inversion hidden number problem

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Number-theoretic algorithms; complexity (11Y16)

Related Items (2)

Improving bounds on elliptic curve hidden number problem for ECDH key exchange ⋮ Cryptanalysis of elliptic curve hidden number problem from PKC 2017

Cites Work

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• On the Structure of Inversive Pseudorandom Number Generators
• Cryptography and Coding
• Lattice attacks on digital signature schemes

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