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arXiv:1405.1196 · Fluctuation and Noise Letters

What Kind of Noise Guarantees Security for the Kirchhoff-Law–Johnson-Noise Key Exchange?

Robert Mingesz, Gergely Vadai, Zoltan Gingl

Published Jun 30, 2014• 30 citations
arXivHTMLPDF

Abstract

This paper is a supplement to our recent one about the analysis of the noise properties in the Kirchhoff-law–Johnson-noise (KLJN) secure key exchange system [Gingl and Mingesz, PLOS ONE 9 (2014) e96109, doi: 10.1371/journal.pone.0096109]. Here, we use purely mathematical statistical derivations to prove that only normal distribution with special scaling can guarantee security. Our results are in agreement with earlier physical assumptions [Kish, Phys. Lett. A 352 (2006) 178–182, doi: 10.1016/j.physleta.2005.11.062]. Furthermore, we have carried out numerical simulations to show that the communication is clearly unsecure for improper selection of the noise properties. Protection against attacks using time and correlation analysis is not considered in this paper. Related simulations are available at http://www.noise.inf.u-szeged.hu/Research/kljn/ .

DOI
10.1142/s0219477514500217

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This paper is a supplement to our recent one about the analysis of the noise properties in the Kirchhoff-law–Johnson-noise (KLJN) secure key exchange system [Gingl and Mingesz, PLOS ONE 9 (2014) e96109, doi: 10.1371/journal.pone.0096109]. Here, we use purely mathematical statistical derivations to prove that only normal distribution with special scaling can guarantee security. Our results are in agreement with earlier physical assumptions [Kish, Phys. Lett. A 352 (2006) 178–182, doi: 10.1016/j.physleta.2005.11.062]. Furthermore, we have carried out numerical simulations to show that the communication is clearly unsecure for improper selection of the noise properties. Protection against attacks using time and correlation analysis is not considered in this paper. Related simulations are available at http://www.noise.inf.u-szeged.hu/Research/kljn/ .
This article is a supplement to our recent one about the analysis of the noise properties in the Kirchhoff-Law-Johnson-Noise (KLJN) secure key exchange system [Gingl and Mingesz, PLOS ONE 9 (2014) e96109, doi:10.1371/journal.pone.0096109]. Here we use purely mathematical statistical derivations to prove that only normal distribution with special scaling can guarantee security. Our results are in agreement with earlier physical assumptions [Kish, Phys. Lett. A 352 (2006) 178-182, doi: 10.1016/j.physleta.2005.11.062]. Furthermore, we have carried out numerical simulations to show that the communication is clearly unsecure for improper selection of the noise properties. Protection against attacks using time and correlation analysis is not considered in this paper.
The Kirchhoff-Law-Johnson-Noise (KLJN) secure key distribution system provides a way of exchanging secure keys by using classical physics (electricity and thermodynamics). Several theoretical studies have addressed the performance and applicability of the communication protocol, and they have indicated that it is protected against all known types of attacks. However, until now, there have been very few real physical implementations and experimental tests of the protocol. With our work, we continue filling this gap. Details of implementing a KLJN based system are presented using a dedicated hardware and an off-the-shelf solution as well. Furthermore, the results of experimental tests and analysis of the performance will be presented.
The Kirchhoff-Law-Johnson-Noise (KLJN) secure key distribution system provides a way of exchanging information theoretic secure keys by measuring the random voltage and current through the wire connecting two different resistors at Alice's and Bob's ends. Recently new advanced protocols for the KLJN method have been proposed with enhanced performance. In this paper we analyze the KLJN system and compare with “intelligent” KLJN (iKLJN) scheme. This task requires the determination of the applied resistors and the identification of the various superpositions of known and unknown noise components. Some statistical tools to determine how the duration of the bit exchange window (averaging time) influences the performance of secure bit exchange will be explored.
The Kirchhoff-Law-Johnson-Noise (KLJN) secure key exchange system has been introduced as a simple, very low cost and efficient classical physical alternative to quantum key distribution systems. The ideal system uses only a few electronic components-identical resistor pairs, switches and interconnecting wires-in order to guarantee perfectly protected data transmission. We show that a generalized KLJN system can provide unconditional security even if it is used with significantly less limitations. The more universal conditions ease practical realizations considerably and support more robust protection against attacks. Our theoretical results are confirmed by numerical simulations.
The Kirchhoff-Law-Johnson-Noise (KLJN) key exchange protocol had been introduced as an ultra-low cost alternative of quantum cryptography. Two years ago we have developed a generalized version of the KLJN key exchanger (VGM-KLJN), and we have proved that the system works perfectly secure under much more general conditions that allows compensation of many kinds of imperfections. In this work we focus on the experimental analysis of our recently introduced VGM-KLJN system. We determine the time required to transfer a bit, the error rate of the information transfer and we also evaluate the probability of successful eavesdropping in the case of different imperfections of the components. We demonstrate a method of real-time identification and compensation of these imperfections. The results of our analysis can greatly aid practical applications and at the same time can serve as a guide to design a system with the required security level.