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Dianzi xuebao

Distillation of Unconditionally-Secure Secret-Key Based on Smooth Entropy

Yumin Wang

Published Jan 1, 2001• 2 citations
OpenAlex

Abstract

This paper investigates the effect of side-information,obtained by the opponent through an initial reconciliation step,on the size of the secret-key that can be distilled safely by subsequent privacy amplification in uncoditionally-secure secret-key agreement protocol based on smooth entropy,and obtains the size of the secret-key with some probability.

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IEEE Transactions on Information Theory•Jan 1, 1995•1,427 citations
This paper investigates the effect of side-information,obtained by the opponent through an initial reconciliation step,on the size of the secret-key that can be distilled safely by subsequent privacy amplification in uncoditionally-secure secret-key agreement protocol based on smooth entropy,and obtains the size of the secret-key with some probability.
Abstract Generally, the information theoretically secret key agreement by public discussion consists of three phases, namely, advantage distillation, information reconciliation, and privacy amplification. In the existing literatures, these three phases are studied separately, and no comprehensive consideration has been given. In this paper, we analyze the restrictive relationship among these three phases from an overall point of view. For the satellite scenario, we analyze in detail the Winnow protocol for the first time. We also present the mutual restrictive relationship between the parameters of the advantage distillation phase and the information reconciliation phase. We further address how to set the parameters of the advantage distillation and the information reconciliation to maximize the total secret key agreement efficiency. Moreover, we determine the required length range of the initial random key string to guarantee the validation of the secret key agreement. Copyright © 2015 John Wiley & Sons, Ltd.
This paper, provides a general treatment of privacy amplification by public discussion, a concept introduced by Bennett, Brassard, and Robert for a special scenario. Privacy amplification is a process that allows two parties to distil a secret key from a common random variable about which an eavesdropper has partial information. The two parties generally know nothing about the eavesdropper's information except that it satisfies a certain constraint. The results have applications to unconditionally secure secret-key agreement protocols and quantum cryptography, and they yield results on wiretap and broadcast channels for a considerably strengthened definition of secrecy capacity.