Abstract
The wiretap coding problem has been addressed since a long time from an information theoretic standpoint. This has permitted to find the ultimate achievable limits under the hypothesis of random coding, which however is far from practice. Some families of practical codes have also been already considered in this scenario, but their achievable secrecy has mostly been assessed in asymptotic conditions (i.e., under the hypothesis of infinite codeword length) and using discrete channel models. In this chapter, we analyze the performance of practical codes over the Gaussian wiretap channel by using suitable metrics which take into account the codeword length and even the specific code structure. This way, we are able to assess the performance of real codes in the finite code length regime, and compare it with the ultimate achievable limits. We focus on low-density parity-check codes as they are among the most viable candidates for the use in this setting.
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Notes
- 1.
Obviously, in the finite length regime Bob’s error probability cannot be vanishing. Therefore, in order to apply these metrics in such a regime, the reliability target must be converted into requiring that Bob achieves some sufficiently small error probability.
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Acknowledgments
This work was supported in part by the MIUR project “ESCAPADE” (Grant RBFR105NLC) under the “FIRB—Futuro in Ricerca 2010” funding program.
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Baldi, M., Chiaraluce, F., Maturo, N., Tomasin, S. (2016). Performance Analysis of Transmission over AWGN Wiretap Channels with Practical Codes. In: Baldi, M., Tomasin, S. (eds) Physical and Data-Link Security Techniques for Future Communication Systems. Lecture Notes in Electrical Engineering, vol 358. Springer, Cham. https://doi.org/10.1007/978-3-319-23609-4_4
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DOI: https://doi.org/10.1007/978-3-319-23609-4_4
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