{"id":"https://openalex.org/W3198439812","doi":"https://doi.org/10.1109/isit45174.2021.9517878","title":"On Multiple-Deletion Multiple-Substitution Correcting Codes","display_name":"On Multiple-Deletion Multiple-Substitution Correcting Codes","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3198439812","doi":"https://doi.org/10.1109/isit45174.2021.9517878","mag":"3198439812"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517878","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517878","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012367423","display_name":"Wentu Song","orcid":"https://orcid.org/0000-0003-2720-1622"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Wentu Song","raw_affiliation_strings":["Singapore University of Technology and Design,Science, Mathematics and Technology Cluster,Singapore","Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, Singapore"],"affiliations":[{"raw_affiliation_string":"Singapore University of Technology and Design,Science, Mathematics and Technology Cluster,Singapore","institution_ids":["https://openalex.org/I152815399"]},{"raw_affiliation_string":"Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, Singapore","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011128858","display_name":"Nikita Polyanskii","orcid":"https://orcid.org/0000-0003-3735-5705"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]},{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["DE","RU"],"is_corresponding":false,"raw_author_name":"Nikita Polyanskii","raw_affiliation_strings":["Technical University of Munich Germany,Skolkovo Institute of Science and Technology,Russia","Skolkovo Institute of Science and Technology, Technical University of Munich Germany, Russia"],"affiliations":[{"raw_affiliation_string":"Technical University of Munich Germany,Skolkovo Institute of Science and Technology,Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Skolkovo Institute of Science and Technology, Technical University of Munich Germany, Russia","institution_ids":["https://openalex.org/I125989756","https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042415594","display_name":"Kui Cai","orcid":"https://orcid.org/0000-0003-2059-0071"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Kui Cai","raw_affiliation_strings":["Singapore University of Technology and Design,Science, Mathematics and Technology Cluster,Singapore","Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, Singapore"],"affiliations":[{"raw_affiliation_string":"Singapore University of Technology and Design,Science, Mathematics and Technology Cluster,Singapore","institution_ids":["https://openalex.org/I152815399"]},{"raw_affiliation_string":"Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, Singapore","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062225577","display_name":"Xuan He","orcid":"https://orcid.org/0000-0002-8934-1981"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xuan He","raw_affiliation_strings":["Singapore University of Technology and Design,Science, Mathematics and Technology Cluster,Singapore","Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, Singapore"],"affiliations":[{"raw_affiliation_string":"Singapore University of Technology and Design,Science, Mathematics and Technology Cluster,Singapore","institution_ids":["https://openalex.org/I152815399"]},{"raw_affiliation_string":"Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, Singapore","institution_ids":["https://openalex.org/I152815399"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012367423"],"corresponding_institution_ids":["https://openalex.org/I152815399"],"apc_list":null,"apc_paid":null,"fwci":0.8849,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.72830818,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2655","last_page":"2660"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7229627370834351},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4504278600215912},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4321485757827759},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.4146486222743988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4024430513381958},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3310546875},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.27076655626296997}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7229627370834351},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4504278600215912},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4321485757827759},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4146486222743988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4024430513381958},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3310546875},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.27076655626296997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit45174.2021.9517878","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517878","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5558368768","display_name":null,"funder_award_id":"WA3907/1-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1594346180","https://openalex.org/W1606480398","https://openalex.org/W1647671624","https://openalex.org/W1981176808","https://openalex.org/W1987075723","https://openalex.org/W2081354249","https://openalex.org/W2120978458","https://openalex.org/W2132619738","https://openalex.org/W2169449223","https://openalex.org/W2751518651","https://openalex.org/W2897671136","https://openalex.org/W2962809499","https://openalex.org/W2971175287","https://openalex.org/W2981144266","https://openalex.org/W2982705741","https://openalex.org/W3035808655","https://openalex.org/W3080366099","https://openalex.org/W3080550366","https://openalex.org/W3080656513","https://openalex.org/W3081339149","https://openalex.org/W3113522538","https://openalex.org/W6753266232","https://openalex.org/W6780834919","https://openalex.org/W6782595905"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"by":[3],"applying":[4],"the":[5,11,40,47,53,56,75],"precoding":[6],"technique":[7],"in":[8,111],"conjunction":[9],"with":[10,79,98],"syndrome":[12],"compression":[13],"approach,":[14],"we":[15,84],"construct":[16,91],"systematic":[17],"<tex>$t$</tex>-deletion":[18],"<tex>$s$</tex>-substitution":[19],"correcting":[20,94],"codes,":[21],"where":[22,50],"<tex>$t$</tex>":[23],"and":[24,43,58],"<tex>$s$</tex>":[25],"are":[26,109],"fixed":[27,63],"positive":[28,69],"integers.":[29],"The":[30,103],"redundancy":[31,99],"of":[32,55,77,106],"our":[33],"construction":[34],"is":[35,52,61,67,74],"<tex>$(4t+3s)\\log":[36],"n+o(\\log":[37,101],"n)$</tex>":[38],"for":[39,46],"binary":[41,92],"case":[42],"<tex>$(4t+4s-1-":[44],"\\mathrm{L}\\frac{2s-1}{q}\\rfloor)\\bar{\\mathrm{l}}\\text{og}_{q}n+o(\\bar{\\mathrm{l}}\\text{og}_{q}n)$</tex>":[45],"<tex>$q$</tex>-ary":[48],"case,":[49],"<tex>$n$</tex>":[51],"length":[54],"codes":[57,95],"<tex>$q&#x003E;":[59],"2$</tex>":[60],"a":[62,68],"prime":[64],"power.<sup>1</sup><sup>1</sup>If":[65],"<tex>$x$</tex>":[66,78],"real":[70],"number,":[71],"then":[72],"<tex>$\\log_{q}\\alpha$</tex>":[73],"logarithm":[76],"base":[80],"<tex>$q$</tex>;":[81],"if":[82],"<tex>$q=2$</tex>,":[83],"simply":[85],"denote":[86],"<tex>$\\log":[87],"x=\\text{lo}\\bar{\\mathrm{g}}_{q}x$</tex>.":[88],"We":[89],"also":[90],"t-deletion":[93],"(i.e.,":[96],"<tex>$s=0$</tex>)":[97],"<tex>$(4t-1)\\log":[100],"n)$</tex>.":[102],"encoding/decoding":[104],"complexities":[105],"all":[107],"constructions":[108],"polynomial":[110],"<tex>$n$</tex>.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
