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Gauss' algorithm revisited

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Publication:3988821
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DOI10.1016/0196-6774(91)90033-UzbMath0779.11065MaRDI QIDQ3988821

Brigitte Vallée

Publication date: 28 June 1992

Published in: Journal of Algorithms (Search for Journal in Brave)


zbMATH Keywords

upper boundlattice basis reductionGauss' reduction algorithmrelations to Euclid's algorithm and the LLL reduction algorithm


Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16)


Related Items (8)

Rational Modular Encoding in the DCR Setting: Non-interactive Range Proofs and Paillier-Based Naor-Yung in the Standard Model ⋮ The optimal LLL algorithm is still polynomial in fixed dimension. ⋮ Convex minization over \(\mathbb Z^2\) ⋮ Computing Jacobi’s theta in quasi-linear time ⋮ Linear Bandwidth Naccache-Stern Encryption ⋮ How to pick a random integer matrix? (and other questions) ⋮ Parallel Cholesky-based reduction for the weighted integer least squares problem ⋮ An upper bound on the average number of iterations of the LLL algorithm




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