LDPC codes for the Gaussian wiretap channel

Kline, D.; Ha, Jeongseok; McLaughlin, S.W.; Barros, João; Kwak, Byung-Jae

doi:10.1109/itw.2009.5351456

Cited by 65 publications

(103 citation statements)

References 23 publications

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“…Since systematic transmission yields large security gaps, in [3,10,11], the use of punctured codes is proposed, by associating the secret bits to punctured bits. As shown in [12][13][14], an alternative solution is to scramble the information bits prior to encoding them.…”

Section: Fig 2 Wire-tap Channel Modelmentioning

confidence: 99%

“…As a metric for PLS, we use a parameter which allows for a straightforward assessment and comparison of practical transmission schemes, based on the error rate achieved by Bob and Eve. This parameter is the so-called security gap, first introduced in [3]. It is defined as the quality ratio between Bob's and Eve's channels that is required to achieve a sufficient level of PLS, while ensuring that Bob reliably receives the transmitted information.…”

Section: Introductionmentioning

confidence: 99%

“…However, previous works in this line of research have mostly been focused on flat AWGN channels. In [3,10,11], it has been shown that an effective way of reducing the security gap consists in using punctured LDPC codes over these channels. On the other hand, the use of punctured codes brings the disadvantage of an increase in the power consumption.…”

Section: Introductionmentioning

confidence: 99%

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Security gap analysis of some LDPC coded transmission schemes over the flat and fast fading Gaussian wire-tap channels

Baldi

Maturo

Ricciutelli

et al. 2015

J Wireless Com Network

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It is known that the error rate can be used as a measure of reliability and security over the wire-tap channel when practical, finite length codes are used for transmission, and the security gap is an error rate based metric able to jointly treat these two aspects. In this paper, we consider several low-density parity-check (LDPC) coded transmissions, which represent the state of the art for transmissions over the wire-tap channel and we assess and compare their security gap performance. We consider two kinds of wire-tap channels: the flat and the fast fading wire-tap channels with additive white Gaussian noise. As a reference, we use the progressive edge growth (PEG) algorithm for the design of unstructured LDPC codes and compare its performance with that of four approaches for designing structured LDPC codes. We analyze both systematic and non-systematic transmissions and show that some structured code design techniques are able to achieve comparable or even better performance than the PEG algorithm over the considered channels, while taking advantage of their simpler encoding and decoding procedures.

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Section: Fig 2 Wire-tap Channel Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Security gap analysis of some LDPC coded transmission schemes over the flat and fast fading Gaussian wire-tap channels

Baldi

Maturo

Ricciutelli

et al. 2015

J Wireless Com Network

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“…There is a danger in adopting other less rigorous measures to make secrecy guarantees in general, as there is often no direct mapping from the information-theoretic measures to measures such as bit error rate (BER) [9], [10] or degrees of freedom [4] in a decoder. However, in the spirit of computational security and/or semantic security, we can still make guarantees on secrecy as long as the eavesdropper is constrained to a known set of decoders as done in [9], [10].…”

Section: Physical-layer Security Measuresmentioning

confidence: 99%

“…However, in the spirit of computational security and/or semantic security, we can still make guarantees on secrecy as long as the eavesdropper is constrained to a known set of decoders as done in [9], [10]. Over the BEC it is known that the MP decoder performs sub-optimally in general compared to the ML decoder.…”

Section: Physical-layer Security Measuresmentioning

confidence: 99%

Parity modifications and stopping sets in high-rate codes for physical-layer security

Harrison

Boyce

2014

2014 IEEE Conference on Communications and Network Security

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In this paper, we present two variations on a linear physical-layer security code for the binary erasure wiretap channel, and examine their performance using small blocklength LDPC codes at rates above the secrecy capacity. We consider the maximum-likelihood attack, along with a message-passing attack, and show how the proposed codes enhance security in each case. Unique security metrics are employed for each attack algorithm as necessary to showcase the security enhancements of the new codes, which are built on the notion of random stopping-setconscious puncturing of encoded bits followed by the addition of sets of edges in the Tanner graph corresponding to the paritycheck matrix. The new codes are shown to provide enhanced security without decreasing the coding rate.

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Lattice Codes for the Gaussian Wiretap Channel

Belfiore

Oggier

Solé

2011

Lecture Notes in Computer Science

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We consider the Gaussian wiretap channel, where two legitimate players Alice and Bob communicate over an additive white Gaussian noise (AWGN) channel, while Eve is eavesdropping, also through an AWGN channel. We propose a coding strategy based on lattice coset encoding. We analyze Eve's probability of decoding, from which we define the secrecy gain as a design criterion for wiretap lattice codes, expressed in terms of the lattice theta series, which characterizes Eve's confusion as a function of the channel parameters. The secrecy gain is studied for even unimodular lattices, and an asymptotic analysis shows that it grows exponentially in the dimension of the lattice. Examples of wiretap lattice codes are given. Interestingly, minimizing Eve's probability of error involves the same optimization of the theta series as does the flatness factor, another newly defined code design that characterizes lattice codes that achieve strong secrecy.

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LDPC codes for the Gaussian wiretap channel

Cited by 65 publications

References 23 publications

Security gap analysis of some LDPC coded transmission schemes over the flat and fast fading Gaussian wire-tap channels

Security gap analysis of some LDPC coded transmission schemes over the flat and fast fading Gaussian wire-tap channels

Parity modifications and stopping sets in high-rate codes for physical-layer security

Lattice Codes for the Gaussian Wiretap Channel

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