Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/94DBEDA6-58F9-4327-9960-FAE101C08FCE | ||
| Year | 2024 | ||
| Type of Item | Diploma Work | ||
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| Bibliographic Citation | Titos Agapakis, "Pascal-Matrix polar coding for the wiretap erasure channel", Diploma Work, School of Electrical and Computer Engineering, Technical University of Crete, Chania, Greece, 2024 https://doi.org/10.26233/heallink.tuc.100615 | ||
| Appears in Collections |
Wyner introduced a special case of the wiretap channel in 1975 which consists of two communications channels. The first channel is between the transmitter and the receiver whereas the second channel is between the transmitter and the eavesdropper. This work focuses on the utilization of coding schemes that reach the maximum transmission rate between the transmitter and the receiver while preserving the secrecy of the transmitted data from the eavesdropper. To achieve this we utilize polar codes, which were introduced by Arikan in 2009 and achieve Shannon’s capacity with low encoding and decoding complexity. They were presented initially for binary-input discrete memoryless channels and later on for arbitrary-input channels. In this thesis, we begin by implementing the original polar codes for the binary symmetric, binary erasure, and q-ary erasure channels. Then, for the q-ary erasure channel, we present a different approach to construct the encoder and the decoder based on the Pascal-matrix. Finally, we apply both polar coding schemes on the wiretap channel and compare their performance.
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