Hidden number problem with hidden multipliers, timed-release crypto, and noisy exponentiation

DOI10.1090/S0025-5718-03-01495-9zbMath1026.11093OpenAlexW2044209395MaRDI QIDQ4806399

Phong Q. Nguyen, N. A. Howgrave-Graham, Igor E. Shparlinski

Publication date: 14 May 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01495-9

zbMATH Keywords

exponential sumscryptographynoisy exponentiationlattice reductionhidden number problemtimed-release crypto

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Number-theoretic algorithms; complexity (11Y16) Exponential sums (11T23)

Related Items (6)

Quantum period reconstruction of approximate sequences ⋮ Correcting noisy exponentiation black-boxes modulo a prime ⋮ The hidden number problem with small unknown multipliers: cryptanalyzing MEGA in six queries and other applications ⋮ Analysis of hidden number problem with hidden multiplier ⋮ Security of polynomial transformations of the Diffie-Hellman key. ⋮ Limits of a conjecture on a leakage-resilient cryptosystem

Cites Work

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• Reconstructing Truncated Integer Variables Satisfying Linear Congruences
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• A sieve algorithm for the shortest lattice vector problem
• Lattice attacks on digital signature schemes
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