{"id":"https://openalex.org/W7116759779","doi":"https://doi.org/10.1109/tit.2025.3647216","title":"Reed\u2013Solomon Codes Against Insertions and Deletions: Full-Length and Rate-1/2 Codes","display_name":"Reed\u2013Solomon Codes Against Insertions and Deletions: Full-Length and Rate-1/2 Codes","publication_year":2025,"publication_date":"2025-12-22","ids":{"openalex":"https://openalex.org/W7116759779","doi":"https://doi.org/10.1109/tit.2025.3647216"},"language":null,"primary_location":{"id":"doi:10.1109/tit.2025.3647216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3647216","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5017069208","display_name":"Peter Beelen","orcid":"https://orcid.org/0000-0003-1218-2422"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Peter Beelen","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark"],"raw_orcid":"https://orcid.org/0000-0003-1218-2422","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025677091","display_name":"Roni Con","orcid":"https://orcid.org/0000-0002-0966-3818"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Roni Con","raw_affiliation_strings":["Henry and Marilyn Taub Faculty of Computer Science, Technion&#x2014;Israel Institute of Technology, Haifa, Israel"],"raw_orcid":"https://orcid.org/0000-0002-0966-3818","affiliations":[{"raw_affiliation_string":"Henry and Marilyn Taub Faculty of Computer Science, Technion&#x2014;Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075442918","display_name":"Anina Gruica","orcid":"https://orcid.org/0009-0008-3066-3223"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Anina Gruica","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark"],"raw_orcid":"https://orcid.org/0009-0008-3066-3223","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069904590","display_name":"Maria Montanucci","orcid":"https://orcid.org/0000-0002-1226-3209"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Maria Montanucci","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark"],"raw_orcid":"https://orcid.org/0000-0002-1226-3209","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021586372","display_name":"Eitan Yaakobi","orcid":"https://orcid.org/0000-0002-9851-5234"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eitan Yaakobi","raw_affiliation_strings":["Henry and Marilyn Taub Faculty of Computer Science, Technion&#x2014;Israel Institute of Technology, Haifa, Israel"],"raw_orcid":"https://orcid.org/0000-0002-9851-5234","affiliations":[{"raw_affiliation_string":"Henry and Marilyn Taub Faculty of Computer Science, Technion&#x2014;Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.77176133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"2","first_page":"1149","last_page":"1160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.5091999769210815,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.5091999769210815,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.2818000018596649,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.04699999839067459,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/block-code","display_name":"Block code","score":0.6220999956130981},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5130000114440918},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4645000100135803},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4293999969959259},{"id":"https://openalex.org/keywords/raptor-code","display_name":"Raptor code","score":0.4219000041484833},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.41830000281333923},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.39890000224113464},{"id":"https://openalex.org/keywords/luby-transform-code","display_name":"Luby transform code","score":0.3971000015735626},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.3901999890804291}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6220999956130981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5318999886512756},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5130000114440918},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4645000100135803},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4293999969959259},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4235000014305115},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.4219000041484833},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.41830000281333923},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.39890000224113464},{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.3971000015735626},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3901999890804291},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.3652999997138977},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.359499990940094},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.35910001397132874},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.35580000281333923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35260000824928284},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3440999984741211},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.33709999918937683},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.3343999981880188},{"id":"https://openalex.org/C76132124","wikidata":"https://www.wikidata.org/wiki/Q5474786","display_name":"Fountain code","level":5,"score":0.33250001072883606},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.3230000138282776},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2962999939918518},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.2784999907016754},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C64948573","wikidata":"https://www.wikidata.org/wiki/Q625117","display_name":"BCJR algorithm","level":5,"score":0.25200000405311584},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.25040000677108765}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3647216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3647216","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1484408502","display_name":null,"funder_award_id":"2462/24","funder_id":"https://openalex.org/F4320320301","funder_display_name":"European Science Foundation"},{"id":"https://openalex.org/G2054292630","display_name":null,"funder_award_id":"VIL?52303?","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"},{"id":"https://openalex.org/G4078923340","display_name":null,"funder_award_id":"DiDAX, 101115134","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G6720256766","display_name":null,"funder_award_id":"101115134","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8861085386","display_name":null,"funder_award_id":"2462/24","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320301","display_name":"European Science Foundation","ror":"https://ror.org/04esata81"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W162344607","https://openalex.org/W1510640641","https://openalex.org/W1599026900","https://openalex.org/W2054076994","https://openalex.org/W2076095404","https://openalex.org/W2080132708","https://openalex.org/W2115151682","https://openalex.org/W2751518651","https://openalex.org/W2897671136","https://openalex.org/W2899702797","https://openalex.org/W2982705741","https://openalex.org/W3030897411","https://openalex.org/W3080366099","https://openalex.org/W3092309105","https://openalex.org/W3113522538","https://openalex.org/W3126358592","https://openalex.org/W3135989042","https://openalex.org/W3145823438","https://openalex.org/W3199052144","https://openalex.org/W3202561437","https://openalex.org/W3215697257","https://openalex.org/W4313887374","https://openalex.org/W4319996528","https://openalex.org/W4327522227","https://openalex.org/W4379984077","https://openalex.org/W4390650975","https://openalex.org/W4391429611","https://openalex.org/W4394711581","https://openalex.org/W4396754394"],"related_works":[],"abstract_inverted_index":{"The":[0],"performance":[1],"of":[2,12,43,61,108,144],"Reed\u2013Solomon":[3],"codes":[4,46,62,86,123,141],"(RS":[5],"codes,":[6,55],"for":[7,76,97],"short)":[8],"in":[9,21,154],"the":[10,41,150],"presence":[11],"insertion":[13,69,110,129],"and":[14,50,94,111],"deletion":[15,95,112,131],"errors":[16,96],"has":[17],"attracted":[18],"growing":[19],"attention":[20],"recent":[22],"literature.":[23],"In":[24],"this":[25,30],"work,":[26],"we":[27,39,56,73,118],"further":[28],"study":[29,40],"intriguing":[31],"mathematical":[32],"problem,":[33],"focusing":[34],"on":[35,120],"two":[36],"regimes.":[37],"First,":[38],"question":[42],"how":[44],"wellfull-lengthRS":[45],"perform":[47],"against":[48],"insertions":[49],"deletions.":[51],"For":[52],"2-dimensional":[53,84],"RS":[54,85,105,122],"provide":[57],"a":[58,67,103,127,135],"complete":[59],"characterization":[60],"that":[63,75,124,138],"cannot":[64],"correct":[65,88,126],"even":[66],"single":[68,128],"or":[70,130],"deletion.":[71],"Furthermore,":[72],"prove":[74],"sufficiently":[77],"large":[78,115],"field":[79],"sizeq,":[80],"nearly":[81],"all":[82],"full-length":[83],"can":[87,125],"up":[89],"to":[90],"(1":[91],"-":[92],"\u03b4)qinsertion":[93],"any":[98],"0k\u2265":[99],"2,":[100],"there":[101],"exists":[102],"full-lengthk-dimensional":[104],"code":[106],"capable":[107],"correctingq/(10k)":[109],"errors,":[113],"providedqis":[114],"enough.":[116],"Second,":[117],"focus":[119],"rate-1/2":[121],"error.":[132],"We":[133],"present":[134],"polynomial-time":[136],"algorithm":[137],"constructs":[139],"such":[140],"over":[142],"fields":[143],"sizeq=":[145],"\u0398(k4).":[146],"This":[147],"result":[148],"matches":[149],"existential":[151],"bound":[152],"given":[153],"[1].":[155]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-12-22T00:00:00"}
