Journal of Global Optimization
Tandem coding and cryptography on wiretap channels: EXIT chart analysis
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
Modern Coding Theory
Physical-layer security: combining error control coding and cryptography
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
The capacity of low-density parity-check codes under message-passing decoding
IEEE Transactions on Information Theory
Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation
IEEE Transactions on Information Theory
Rate-compatible puncturing of low-density parity-check codes
IEEE Transactions on Information Theory
The Wiretap Channel With Feedback: Encryption Over the Channel
IEEE Transactions on Information Theory
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This paper presents a coding scheme for the Gaussian wiretap channel based on low-density parity-check (LDPC) codes. The messages are transmitted over punctured bits to hide data from eavesdroppers. It is shown that this method is asymptotically effective in the sense that it yields a BER very close to 0.5 for an eavesdropper whose SNR is lower than the threshold SNRE, even if the eavesdropper has the ability to use a bitwise MAP decoder. Such codes also achieve high reliability for the friendly parties provided they have an SNR above a second threshold SNRB. It is shown how asymptotically optimized LDPC codes can be designed with differential evolution where the goal is to achieve high reliability between friendly parties and security against a passive eavesdropper while keeping the security gap SNRB/SNRE as small as possible. The proposed coding scheme is applicable at finite block lengths and can be combined with existing cryptographic schemes to deliver improved data security by taking advantage of the stochastic nature of many communication channels.