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EUROCRYPT
2000
Springer

Noisy Polynomial Interpolation and Noisy Chinese Remaindering

9 years 2 months ago
Noisy Polynomial Interpolation and Noisy Chinese Remaindering
Abstract. The noisy polynomial interpolation problem is a new intractability assumption introduced last year in oblivious polynomial evaluation. It also appeared independently in password identification schemes, due to its connection with secret sharing schemes based on Lagrange's polynomial interpolation. This paper presents new algorithms to solve the noisy polynomial interpolation problem. In particular, we prove a reduction from noisy polynomial interpolation to the lattice shortest vector problem, when the parameters satisfy a certain condition that we make explicit. Standard lattice reduction techniques appear to solve many instances of the problem. It follows that noisy polynomial interpolation is much easier than expected. We therefore suggest simple modifications to several cryptographic schemes recently proposed, in order to change the intractability assumption. We also discuss analogous methods for the related noisy Chinese remaindering problem arising from the well-kno...
Daniel Bleichenbacher, Phong Q. Nguyen
Added 24 Aug 2010
Updated 24 Aug 2010
Type Conference
Year 2000
Where EUROCRYPT
Authors Daniel Bleichenbacher, Phong Q. Nguyen
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