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

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.

[1]  Marco Baldi,et al.  Interleaved Product LDPC Codes , 2011, IEEE Transactions on Communications.

[2]  Marco Baldi,et al.  On a Family of Circulant Matrices for Quasi-Cyclic Low-Density Generator Matrix Codes , 2011, IEEE Transactions on Information Theory.

[3]  J. Barros,et al.  LDPC codes for the Gaussian wiretap channel , 2009 .

[4]  Marco Baldi,et al.  A tight estimation of the security gap over the fast fading wiretap channel , 2013, 2013 9th International Wireless Communications and Mobile Computing Conference (IWCMC).

[5]  Marco Baldi,et al.  Practical LDPC coded modulation schemes for the fading broadcast channel with confidential messages , 2014, 2014 IEEE International Conference on Communications Workshops (ICC).

[6]  C. Shannon.  Probability of error for optimal codes in a Gaussian channel , 1959 .

[7]  Marco Baldi,et al.  Progressive Differences Convolutional Low-Density Parity-Check Codes , 2012, IEEE Communications Letters.

[8]  Frank H. P. Fitzek,et al.  IEEE Global Telecommunications Conference, 2005. GLOBECOM '05 , 2006 .

[9]  Daniel J. Costello,et al.  LDPC block and convolutional codes based on circulant matrices , 2004, IEEE Transactions on Information Theory.

[10]  Orhan Gazi,et al.  Turbo Product Codes Based on Convolutional Codes , 2006 .

[11]  Byung-Jae Kwak,et al.  LDPC codes for physical layer security , 2009, GLOBECOM 2009.

[12]  Hoglah Leena Bollam.  FINITE-PRECISION ANALYSIS OF DEMAPPERS AND DECODERS FOR LDPC-CODED M-QAM SYSTEMS , 2014 .

[13]  Nicola Laurenti,et al.  Secrecy Transmission on Parallel Channels: Theoretical Limits and Performance of Practical Codes , 2014, IEEE Transactions on Information Forensics and Security.

[14]  A. D. Wyner,et al.  The wire-tap channel , 1975, The Bell System Technical Journal.

[15]  Sarah J. Johnson,et al.  A family of irregular LDPC codes with low encoding complexity , 2003, IEEE Communications Letters.

[16]  Shlomo Shamai,et al.  Secure Communication Over Fading Channels , 2007, IEEE Transactions on Information Theory.

[17]  Marco Baldi,et al.  Security gap performance of some LDPC code constructions , 2013, 2013 36th International Conference on Telecommunications and Signal Processing (TSP).

[18]  Marco Baldi,et al.  A practical viewpoint on the performance of LDPC codes over the fast Rayleigh fading wire-tap channel , 2013, 2013 IEEE Symposium on Computers and Communications (ISCC).

[19]  John M. Shea,et al.  Secret-Sharing LDPC Codes for the BPSK-Constrained Gaussian Wiretap Channel , 2011, IEEE Transactions on Information Forensics and Security.

[20]  Marco Baldi,et al.  LDPC coded transmissions over the Gaussian broadcast channel with confidential messages , 2014, 2014 21st International Conference on Telecommunications (ICT).

[21]  M.R. Shikh-Bahaei,et al.  Interference cancellation in W-CDMA cellular structures using statistical processing , 1999, Seamless Interconnection for Universal Services. Global Telecommunications Conference. GLOBECOM'99. (Cat. No.99CH37042).

[22]  Rüdiger L. Urbanke,et al.  The capacity of low-density parity-check codes under message-passing decoding , 2001, IEEE Trans. Inf. Theory.

[23]  Marco Baldi,et al.  A Class of Low-Density Parity-Check Product Codes , 2009, 2009 First International Conference on Advances in Satellite and Space Communications.

[24]  Torleiv Kløve,et al.  On the generator matrix of array LDPC codes , 2012, SoftCOM 2012, 20th International Conference on Software, Telecommunications and Computer Networks.

[25]  Frédérique E. Oggier,et al.  A USRP implementation of wiretap lattice codes , 2014, 2014 IEEE Information Theory Workshop (ITW 2014).

[26]  Byung-Jae Kwak,et al.  LDPC for Physical Layer Security , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[27]  Marco Baldi,et al.  Increasing Physical Layer Security through Scrambled Codes and ARQ , 2011, 2011 IEEE International Conference on Communications Workshops (ICC).

[28]  Marco Baldi,et al.  Cryptanalysis of a new instance of McEliece cryptosystem based on QC-LDPC Codes , 2007, 2007 IEEE International Symposium on Information Theory.

[29]  Marco Baldi,et al.  A Physical Layer Secured Key Distribution Technique for IEEE 802.11g Wireless Networks , 2012, IEEE Wireless Communications Letters.

[30]  Marco Baldi,et al.  Non-systematic codes for physical layer security , 2010, 2010 IEEE Information Theory Workshop.

[31]  Ng Chun Sum,et al.  LDPC product codes , 2004, The Ninth International Conference onCommunications Systems, 2004. ICCS 2004..

[32]  Desmond P. Taylor,et al.  Multiple serial and parallel concatenated single parity-check codes , 2003, IEEE Trans. Commun..

[33]  Byung-Jae Kwak,et al.  LDPC Codes for the Gaussian Wiretap Channel , 2009, IEEE Transactions on Information Forensics and Security.

[34]  A. Robert Calderbank,et al.  Applications of LDPC Codes to the Wiretap Channel , 2004, IEEE Transactions on Information Theory.

[35]  Martin E. Hellman,et al.  The Gaussian wire-tap channel , 1978, IEEE Trans. Inf. Theory.

[36]  Marco Baldi,et al.  Coding With Scrambling, Concatenation, and HARQ for the AWGN Wire-Tap Channel: A Security Gap Analysis , 2012, IEEE Transactions on Information Forensics and Security.

[37]  Marco Baldi,et al.  Performance assessment and design of finite length LDPC codes for the Gaussian wiretap channel , 2015, 2015 IEEE International Conference on Communication Workshop (ICCW).

[38]  Marco Baldi,et al.  LDPC codes based on serially concatenated multiple parity-check codes , 2009, IEEE Communications Letters.