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IEEE Information Theory Workshop (ITW)

A practical scheme for string commitment based on the Gaussian channel

Frédérique Oggier, Kirill Morozov

Published May 1, 2008• 6 citations
Publisher

Abstract

We consider the problem of information-theoretically secure string commitment using a channel with additive white Gaussian noise. While the current results in the literature mainly present existence results for such schemes, we present here a practical scheme using lattice codes and analyze its security parameters for finite code lengths.

DOI
10.1109/itw.2008.4578679

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We consider the problem of information-theoretically secure string commitment using a channel with additive white Gaussian noise. While the current results in the literature mainly present existence results for such schemes, we present here a practical scheme using lattice codes and analyze its security parameters for finite code lengths.
Bit commitment is an important tool for constructing zero-knowledge proofs and multi-party computation. Unconditionally secure bit commitment can be based, in particular, on noisy channel or correlation where noise considered a valuable resource. Recently, Winter, Nascimento and Imai introduced the concept of commitment capacity, the maximal ratio between the length of a string which the sender commits to and the number of times the noisy channel/correlation is used. They also proved that for any discrete memoryless channel there exists a secure protocol achieving its commitment capacity however, no particular construction was given. Solving their open question, we provide an efficient protocol for achieving the commitment capacity of discrete memoryless systems (noisy channels and correlations).