{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T23:55:56Z","timestamp":1783122956306,"version":"3.54.6"},"reference-count":34,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2020,1,23]],"date-time":"2020-01-23T00:00:00Z","timestamp":1579737600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"German Technical Center for Ships and Naval Weapons, Naval Technology and Research (WTD 71)","award":["E\/E71S\/H0531\/CF081"],"award-info":[{"award-number":["E\/E71S\/H0531\/CF081"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>Acoustic underwater communication is a challenging task. For a reliable transmission, not only good channel estimation and equalization, but also strong error correcting codes are needed. In this paper, we present the results of the coding competition \u201cWanted: Best channel codes for short underwater messages\u201d as well as our own findings on the influence of the modulation alphabet size in the example of non-binary polar codes. Furthermore, the proposals of the competition are compared to other commonly used channel codes.<\/jats:p>","DOI":"10.3390\/info11020058","type":"journal-article","created":{"date-parts":[[2020,1,23]],"date-time":"2020-01-23T10:36:02Z","timestamp":1579775762000},"page":"58","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["On Channel Codes for Short Underwater Messages"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8655-4471","authenticated-orcid":false,"given":"Melanie","family":"Falk","sequence":"first","affiliation":[{"name":"Institute of Communications, Hamburg University of Technology, 21073 Hamburg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gerhard","family":"Bauch","sequence":"additional","affiliation":[{"name":"Institute of Communications, Hamburg University of Technology, 21073 Hamburg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ivor","family":"Nissen","sequence":"additional","affiliation":[{"name":"German Technical Center for Ships and Naval Weapons, Naval Technology and Research (WTD 71), Underwater Communication Branch, 24340 Eckernf\u00f6rde, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,23]]},"reference":[{"key":"ref_1","first-page":"113","article-title":"Burst communication\u2014A solution for the underwater information management","volume":"18","author":"Nissen","year":"2015","journal-title":"Hydroacoustics"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Kebkal, V., Kebkal, O., and Kebkal, K. (2013, January 10\u201314). Network coding for underwater acoustic sensor networks. Proceedings of the 2013 MTS\/IEEE OCEANS, Bergen, Norway.","DOI":"10.1109\/OCEANS-Bergen.2013.6607957"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Sprea, N., Bashir, M., Truhachev, D., Srinivas, K.V., Schlegel, C., and Sacchi, C. (2019, January 17\u201320). BATS Coding for Underwater Acoustic Communication Networks. Proceedings of the OCEANS 2019, Marseille, France.","DOI":"10.1109\/OCEANSE.2019.8867299"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Wang, H., Wang, S., Zhang, E., and Zou, J. (2016). A network coding based hybrid ARQ protocol for underwater acoustic sensor networks. Sensors, 16.","DOI":"10.3390\/s16091444"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Barreto, G., Sim\u00e3o, D., Pellenz, M., Souza, R., Jamhour, E., Penna, M., Brante, G., and Chang, B. (2017). Energy-Efficient Channel Coding Strategy for Underwater Acoustic Networks. Sensors, 17.","DOI":"10.3390\/s17040728"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Behgam, M., Zheng, Y.R., and Liu, Z. (2018, January 22\u201325). Coding for Short Messages in Multipath Underwater Acoustic Communication Channels. Proceedings of the OCEANS 2018 MTS\/IEEE Charleston, Charleston, SC, USA.","DOI":"10.1109\/OCEANS.2018.8604711"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Goalic, A., Trubuil, J., and Beuzelin, N. (2006, January 18\u201321). Channel Coding for Underwater Acoustic Communication System. Proceedings of the OCEANS 2006, Boston, MA, USA.","DOI":"10.1109\/OCEANS.2006.307093"},{"key":"ref_8","unstructured":"Xu, X., Chen, Y., Zhang, L., and Feng, W. (2010, January 11\u201314). Comparison of the performance of LDPC codes over different underwater acoustic channels. Proceedings of the 2010 IEEE 12th International Conference on Communication Technology, Nanjing, China."},{"key":"ref_9","unstructured":"Wu, Y., Zhu, M., Zhu, W., Xing, Z., Xu, L., and Bo, Y. (2013, January 23\u201327). Nonbinary LDPC code for noncoherent underwater acoustic communication and its experiment results. Proceedings of the 2013 OCEANS, San Diego, CA, USA."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Zhang, L., Xu, X., Sun, H., and Chen, Y. (2009, January 24\u201326). Performance Analysis of IRA Codes for Underwater Acoustic OFDM Communication System. Proceedings of the 2009 5th International Conference on Wireless Communications, Networking and Mobile Computing, Beijing, China.","DOI":"10.1109\/WICOM.2009.5302465"},{"key":"ref_11","unstructured":"Liu, L., Wang, Y., Li, L., Zhang, X., and Wang, J. (2009, January 20\u201323). Design and implementation of channel coding for underwater acoustic system. Proceedings of the 2009 IEEE 8th International Conference on ASIC, Changsha, China."},{"key":"ref_12","unstructured":"Chen, P., Bai, B., and Ma, X. (2019). Two-stage polarization-based nonbinary polar codes for 5G URLLC. arXiv."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Yuan, P., and Steiner, F. (2018, January 3\u20137). Construction and Decoding Algorithms for Polar Codes based on 2 \u00d7 2 Non-Binary Kernels. Proceedings of the 2018 IEEE 10th International Symposium on Turbo Codes Iterative Information Processing (ISTC), Hong Kong, China.","DOI":"10.1109\/ISTC.2018.8625284"},{"key":"ref_14","unstructured":"Goetz, M., and Nissen, I. (2012, January 8\u20139). GUWMANET\u2014Multicast Routing in Underwater Acoustic Networks. Proceedings of the Communications and Information Systems Conference (MCC), 2012 Military, Gdansk, Poland."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"614","DOI":"10.1109\/JOE.2013.2278913","article-title":"Propagation and Scattering Effects in Underwater Acoustic Communication Channels","volume":"38","year":"2013","journal-title":"IEEE J. Ocean. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1007","DOI":"10.1109\/JOE.2017.2699078","article-title":"The Watermark Benchmark for Underwater Acoustic Modulation Schemes","volume":"42","author":"Socheleau","year":"2017","journal-title":"IEEE J. Ocean. Eng."},{"key":"ref_17","unstructured":"Falk, M., Nissen, I., and Bauch, G. (2019, April 15). Wanted: Best Channel Codes for Short Underwater Messages. Available online: https:\/\/www.researchgate.net\/profile\/Melanie_Falk\/publication\/326378796_Wanted_Best_Channel_Codes_for_Short_Underwater_Messages\/links\/5c0a7a00a6fdcc494fe0b8f1\/Wanted-Best-Channel-Codes-for-Short-Underwater-Messages.pdf."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1137\/0108018","article-title":"Polynomial codes over certain finite fields","volume":"8","author":"Reed","year":"1960","journal-title":"J. Soc. Ind. Appl. Math."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1109\/TIT.1962.1057683","article-title":"Low-density parity-check codes","volume":"8","author":"Gallager","year":"1962","journal-title":"IRE Trans. Inf. Theory"},{"key":"ref_20","unstructured":"Davey, M.C., and MacKay, D.J.C. (1998, January 22\u201326). Low density parity check codes over GF(q). Proceedings of the 1998 Information Theory Workshop (Cat. No.98EX131), Killarney, Ireland."},{"key":"ref_21","unstructured":"(2019, November 25). 3GPP TS 38.212 V15.0.0: Multiplexing and Channel Coding. Available online: 3gpp.org."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"6788","DOI":"10.1109\/TIT.2011.2162259","article-title":"Multiplicatively Repeated Nonbinary LDPC Codes","volume":"57","author":"Kasai","year":"2011","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1109\/LCOMM.2008.080017","article-title":"A performance comparison of polar codes and Reed-Muller codes","volume":"12","author":"Arikan","year":"2008","journal-title":"IEEE Commun. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2213","DOI":"10.1109\/TIT.2015.2410251","article-title":"List Decoding of Polar Codes","volume":"61","author":"Tal","year":"2015","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_25","unstructured":"Yuan, P., Prinz, T., Boecherer, G., Iscan, O., Boehnke, R., and Xu, W. (2019, January 11\u201314). Polar Code Construction for List Decoding. Proceedings of the 12th International ITG Conference on Systems, Communications and Coding (SCC 2019), Rostock, Germany."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"3051","DOI":"10.1109\/TIT.2009.2021379","article-title":"Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels","volume":"55","author":"Arikan","year":"2009","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"3221","DOI":"10.1109\/TCOMM.2012.081512.110872","article-title":"Efficient Design and Decoding of Polar Codes","volume":"60","author":"Trifonov","year":"2012","journal-title":"IEEE Trans. Commun."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"6562","DOI":"10.1109\/TIT.2013.2272694","article-title":"How to Construct Polar Codes","volume":"59","author":"Tal","year":"2013","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Stark, M., Shah, A., and Bauch, G. (2018, January 15\u201318). Polar code construction using the information bottleneck method. Proceedings of the 2018 IEEE Wireless Communications and Networking Conference Workshops (WCNCW), Barcelona, Spain.","DOI":"10.1109\/WCNCW.2018.8368978"},{"key":"ref_30","unstructured":"Elkelesh, A., Ebada, M., Cammerer, S., and ten Brink, S. (2019, January 11\u201314). Genetic Algorithm-based Polar Code Construction for the AWGN Channel. Proceedings of the 12th International ITG Conference on Systems, Communications and Coding (SCC 2019), Rostock, Germany."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"5165","DOI":"10.1109\/TSP.2015.2439211","article-title":"LLR-Based Successive Cancellation List Decoding of Polar Codes","volume":"63","author":"Parizi","year":"2015","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Sasoglu, E., Telatar, E., and Arikan, E. (2009, January 11\u201316). Polarization for arbitrary discrete memoryless channels. Proceedings of the 2009 IEEE Information Theory Workshop, Taormina, Italy.","DOI":"10.1109\/ITW.2009.5351487"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1109\/18.904537","article-title":"Code construction and decoding of parallel concatenated tail-biting codes","volume":"47","author":"Weiss","year":"2001","journal-title":"IEEE Trans. Inf. 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