{"status":"public","quality_controlled":"1","acknowledgement":"S. A. Hashemi is supported by a Postdoctoral Fellowship from the Natural Sciences and Engineering Research Council\r\nof Canada (NSERC) and by Huawei. M. Mondelli is partially supported by the 2019 Lopez-Loreta Prize. A. Fazeli and A. Vardy were supported in part by the National Science Foundation under Grant CCF-1764104.","month":"09","article_processing_charge":"No","publisher":"IEEE","title":"Parallelism versus latency in simplified successive-cancellation decoding of polar codes","date_updated":"2026-08-12T06:43:01Z","external_id":{"arxiv":["2012.13378"],"isi":["000701502202078"]},"publication_status":"published","department":[{"_id":"MaMo"}],"date_published":"2021-09-01T00:00:00Z","publication_identifier":{"isbn":["978-1-5386-8210-4"],"eisbn":["978-1-5386-8209-8"],"issn":["2157-8095"]},"oa_version":"Preprint","_id":"10053","author":[{"full_name":"Hashemi, Seyyed Ali","first_name":"Seyyed Ali","last_name":"Hashemi"},{"id":"27EB676C-8706-11E9-9510-7717E6697425","last_name":"Mondelli","orcid":"0000-0002-3242-7020","first_name":"Marco","full_name":"Mondelli, Marco"},{"full_name":"Fazeli, Arman","first_name":"Arman","last_name":"Fazeli"},{"last_name":"Vardy","full_name":"Vardy, Alexander","first_name":"Alexander"},{"last_name":"Cioffi","first_name":"John","full_name":"Cioffi, John"},{"last_name":"Goldsmith","first_name":"Andrea","full_name":"Goldsmith, Andrea"}],"language":[{"iso":"eng"}],"publication":"2021 IEEE International Symposium on Information Theory","date_created":"2021-09-27T14:33:14Z","abstract":[{"lang":"eng","text":"This paper characterizes the latency of the simplified successive-cancellation (SSC) decoding scheme for polar codes under hardware resource constraints. In particular, when the number of processing elements P that can perform SSC decoding operations in parallel is limited, as is the case in practice, the latency of SSC decoding is O(N1−1 μ+NPlog2log2NP), where N is the block length of the code and μ is the scaling exponent of polar codes for the channel. Three direct consequences of this bound are presented. First, in a fully-parallel implementation where P=N2 , the latency of SSC decoding is O(N1−1/μ) , which is sublinear in the block length. This recovers a result from an earlier work. Second, in a fully-serial implementation where P=1 , the latency of SSC decoding scales as O(Nlog2log2N) . The multiplicative constant is also calculated: we show that the latency of SSC decoding when P=1 is given by (2+o(1))Nlog2log2N . Third, in a semi-parallel implementation, the smallest P that gives the same latency as that of the fully-parallel implementation is P=N1/μ . The tightness of our bound on SSC decoding latency and the applicability of the foregoing results is validated through extensive simulations."}],"project":[{"name":"Prix Lopez-Loretta 2019 - Marco Mondelli","_id":"059876FA-7A3F-11EA-A408-12923DDC885E"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2012.13378"}],"oa":1,"doi":"10.1109/ISIT45174.2021.9518153","scopus_import":"1","day":"01","isi":1,"page":"2369-2374","arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","conference":{"name":"ISIT: International Symposium on Information Theory","start_date":"2021-07-12","end_date":"2021-07-20","location":"Melbourne, Australia"},"citation":{"ista":"Hashemi SA, Mondelli M, Fazeli A, Vardy A, Cioffi J, Goldsmith A. 2021. Parallelism versus latency in simplified successive-cancellation decoding of polar codes. 2021 IEEE International Symposium on Information Theory. ISIT: International Symposium on Information Theory, 2369–2374.","ama":"Hashemi SA, Mondelli M, Fazeli A, Vardy A, Cioffi J, Goldsmith A. Parallelism versus latency in simplified successive-cancellation decoding of polar codes. In: <i>2021 IEEE International Symposium on Information Theory</i>. IEEE; 2021:2369-2374. doi:<a href=\"https://doi.org/10.1109/ISIT45174.2021.9518153\">10.1109/ISIT45174.2021.9518153</a>","short":"S.A. Hashemi, M. Mondelli, A. Fazeli, A. Vardy, J. Cioffi, A. Goldsmith, in:, 2021 IEEE International Symposium on Information Theory, IEEE, 2021, pp. 2369–2374.","ieee":"S. A. Hashemi, M. Mondelli, A. Fazeli, A. Vardy, J. Cioffi, and A. Goldsmith, “Parallelism versus latency in simplified successive-cancellation decoding of polar codes,” in <i>2021 IEEE International Symposium on Information Theory</i>, Melbourne, Australia, 2021, pp. 2369–2374.","mla":"Hashemi, Seyyed Ali, et al. “Parallelism versus Latency in Simplified Successive-Cancellation Decoding of Polar Codes.” <i>2021 IEEE International Symposium on Information Theory</i>, IEEE, 2021, pp. 2369–74, doi:<a href=\"https://doi.org/10.1109/ISIT45174.2021.9518153\">10.1109/ISIT45174.2021.9518153</a>.","apa":"Hashemi, S. A., Mondelli, M., Fazeli, A., Vardy, A., Cioffi, J., &#38; Goldsmith, A. (2021). Parallelism versus latency in simplified successive-cancellation decoding of polar codes. In <i>2021 IEEE International Symposium on Information Theory</i> (pp. 2369–2374). Melbourne, Australia: IEEE. <a href=\"https://doi.org/10.1109/ISIT45174.2021.9518153\">https://doi.org/10.1109/ISIT45174.2021.9518153</a>","chicago":"Hashemi, Seyyed Ali, Marco Mondelli, Arman Fazeli, Alexander Vardy, John Cioffi, and Andrea Goldsmith. “Parallelism versus Latency in Simplified Successive-Cancellation Decoding of Polar Codes.” In <i>2021 IEEE International Symposium on Information Theory</i>, 2369–74. IEEE, 2021. <a href=\"https://doi.org/10.1109/ISIT45174.2021.9518153\">https://doi.org/10.1109/ISIT45174.2021.9518153</a>."},"related_material":{"record":[{"status":"public","relation":"later_version","id":"10364"}]},"type":"conference","year":"2021"}