{"ID":77106,"CreatedAt":"2026-02-27T13:00:40Z","UpdatedAt":"2026-02-27T13:00:40Z","DeletedAt":null,"paper_url":"https://paperswithcode.com/paper/genetic-algorithm-based-polar-code","arxiv_id":"1901.06444","title":"Genetic Algorithm-based Polar Code Construction for the AWGN Channel","abstract":"We propose a new polar code construction framework (i.e., selecting the\nfrozen bit positions) for the additive white Gaussian noise (AWGN) channel,\ntailored to a given decoding algorithm, rather than based on the (not\nnecessarily optimal) assumption of successive cancellation (SC) decoding. The\nproposed framework is based on the Genetic Algorithm (GenAlg), where\npopulations (i.e., collections) of information sets evolve successively via\nevolutionary transformations based on their individual error-rate performance.\nThese populations converge towards an information set that fits the decoding\nbehavior. Using our proposed algorithm, we construct a polar code of length\n2048 with code rate 0.5, without the CRC-aid, tailored to plain successive\ncancellation list (SCL) decoding, achieving the same error-rate performance as\nthe CRC-aided SCL decoding, and leading to a coding gain of 1 dB at BER of\n$10^{-6}$. Further, a belief propagation (BP)-tailored polar code approaches\nthe SCL error-rate performance without any modifications in the decoding\nalgorithm itself.","short_abstract":"We propose a new polar code construction framework (i. e., selecting the frozen bit positions) for the additive white Gaussian noise (AWGN) channel, tailored to a given decoding algorithm, rather than based on the (not necessarily optimal) assumption of successive cancellation (SC) decoding.","url_abs":"http://arxiv.org/abs/1901.06444v1","url_pdf":"http://arxiv.org/pdf/1901.06444v1.pdf","authors":"[\"Ahmed Elkelesh\", \"Moustafa Ebada\", \"Sebastian Cammerer\", \"Stephan ten Brink\"]","published":"2019-01-19T00:00:00Z","tasks":"[\"Playing the Game of 2048\"]","methods":"[]","has_code":false,"code_links":[{"ID":293869,"CreatedAt":"2026-02-27T13:01:31Z","UpdatedAt":"2026-02-27T13:01:31Z","DeletedAt":null,"paper_id":77106,"paper_url":"https://paperswithcode.com/paper/genetic-algorithm-based-polar-code","paper_title":"Genetic Algorithm-based Polar Code Construction for the AWGN Channel","repo_url":"https://github.com/AhmedElkelesh/Genetic-Algorithm-based-Polar-Code-Construction","is_official":true,"mentioned_in_paper":true,"mentioned_in_github":true,"framework":"none","github_stars":0},{"ID":594030,"CreatedAt":"2026-03-04T21:00:12Z","UpdatedAt":"2026-03-04T21:00:12Z","DeletedAt":null,"paper_id":77106,"paper_url":"https://paperswithcode.com/paper/genetic-algorithm-based-polar-code","paper_title":"Genetic Algorithm-based Polar Code Construction for the AWGN Channel","repo_url":"https://github.com/AhmedElkelesh/Genetic-Algorithm-based-Polar-Code-Construction","is_official":true,"mentioned_in_paper":true,"mentioned_in_github":true,"framework":"none","github_stars":0}]}