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Open AccessArticle

An Efficient Advantage Distillation Scheme for Bidirectional Secret-Key Agreement

by Yan Feng 1,†, Xue-Qin Jiang 1,*,†, Jia Hou 2,†, Hui-Ming Wang 3,† and Yi Yang 1,†
1
School of Information Science and technology, Donghua University, Shanghai 201620, China
2
School of electronics and information, Soochow University, Soochow 215000, China
3
School of electronic and Information Engineering, Xi’an Jiao Tong University, Xi’an 710000, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Entropy 2017, 19(9), 505; https://doi.org/10.3390/e19090505
Received: 30 July 2017 / Revised: 30 August 2017 / Accepted: 14 September 2017 / Published: 18 September 2017
(This article belongs to the Special Issue Information-Theoretic Security)
The classical secret-key agreement (SKA) scheme includes three phases: (a) advantage distillation (AD), (b) reconciliation, and (c) privacy amplification. Define the transmission rate as the ratio between the number of raw key bits obtained by the AD phase and the number of transmitted bits in the AD. The unidirectional SKA, whose transmission rate is 0 . 5, can be realized by using the original two-way wiretap channel as the AD phase. In this paper, we establish an efficient bidirectional SKA whose transmission rate is nearly 1 by modifying the two-way wiretap channel and using the modified two-way wiretap channel as the AD phase. The bidirectional SKA can be extended to multiple rounds of SKA with the same performance and transmission rate. For multiple rounds of bidirectional SKA, we have provided the bit error rate performance of the main channel and eavesdropper’s channel and the secret-key capacity. It is shown that the bit error rate (BER) of the main channel was lower than the eavesdropper’s channel and we prove that the transmission rate was nearly 1 when the number of rounds was large. Moreover, the secret-key capacity C s was from 0 . 04 to 0 . 1 as the error probability of channel was from 0 . 01 to 0 . 15 in binary symmetric channel (BSC). The secret-key capacity was close to 0 . 3 as the signal-to-noise ratio increased in the additive white Gaussian noise (AWGN) channel. View Full-Text
Keywords: two-way wiretap channel (TWWC); secret-key agreement (SKA); transmission rate; secret-key capacity two-way wiretap channel (TWWC); secret-key agreement (SKA); transmission rate; secret-key capacity
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Feng, Y.; Jiang, X.-Q.; Hou, J.; Wang, H.-M.; Yang, Y. An Efficient Advantage Distillation Scheme for Bidirectional Secret-Key Agreement. Entropy 2017, 19, 505.

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