SIMULTANEOUS APPROXIMATION PROBLEMS AND KNAPSACK CRYPTOSYSTEMS WITH COMMITMENT SCHEMES IN p-ADIC NUMBERLANDS

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS（2018）

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摘要

Constructing the multi-dimensional p-adic approximation lattices by using the powers of a p-adic number, we propose a new knapsack-type cryptosystem with commitment schemes, the security of which is based on the hardness of the shortest vector problem (SVP) in these lattices.

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关键词

Simultaneous homogeneous approximation,p-adic theory,LLL algorithm,Cryptography

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