{"id":"https://openalex.org/W4407098003","doi":"https://doi.org/10.1109/tit.2025.3538114","title":"Corrections to \u201cReed Solomon Codes Against Adversarial Insertions and Deletions\u201d","display_name":"Corrections to \u201cReed Solomon Codes Against Adversarial Insertions and Deletions\u201d","publication_year":2025,"publication_date":"2025-02-03","ids":{"openalex":"https://openalex.org/W4407098003","doi":"https://doi.org/10.1109/tit.2025.3538114"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3538114","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3538114","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/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":true,"raw_author_name":"Roni Con","raw_affiliation_strings":["Department of Computer Science, Technion &#x2013; Israel Institute of Technology, Haifa, Israel","Department of Computer Science, Technion - Israel Institute of Technology, Haifa, Israel"],"raw_orcid":"https://orcid.org/0000-0002-0966-3818","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion &#x2013; Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Computer Science, Technion - Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004182247","display_name":"Amir Shpilka","orcid":"https://orcid.org/0000-0003-2384-425X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amir Shpilka","raw_affiliation_strings":["Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0003-2384-425X","affiliations":[{"raw_affiliation_string":"Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085150941","display_name":"Itzhak Tamo","orcid":"https://orcid.org/0000-0002-8000-0419"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Itzhak Tamo","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, Israel","Department of EE-Systems, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0002-8000-0419","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of EE-Systems, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025677091"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00717211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"4","first_page":"3250","last_page":"3251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9955999851226807,"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/T10237","display_name":"Cryptography and Data Security","score":0.987500011920929,"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/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.7811362743377686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6132922172546387},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.5250463485717773},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4424024224281311},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3751642107963562},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3633304834365845},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.34890812635421753},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.33123236894607544},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3246009945869446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2459336519241333},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20122423768043518}],"concepts":[{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.7811362743377686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6132922172546387},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.5250463485717773},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4424024224281311},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3751642107963562},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3633304834365845},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.34890812635421753},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.33123236894607544},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3246009945869446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2459336519241333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20122423768043518}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3538114","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3538114","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/G2863868470","display_name":null,"funder_award_id":"852953","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G2877989186","display_name":null,"funder_award_id":"1030/15","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G3049538294","display_name":null,"funder_award_id":"514/20","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320312914","display_name":"Blavatnik Family Foundation","ror":null},{"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W4319996528"],"related_works":["https://openalex.org/W2083307409","https://openalex.org/W2132376394","https://openalex.org/W2121777163","https://openalex.org/W2100385353","https://openalex.org/W2060062708","https://openalex.org/W3133831695","https://openalex.org/W2547343543","https://openalex.org/W1798117689","https://openalex.org/W2374013719","https://openalex.org/W2376785090"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,20,162,191,213],"this":[3],"note":[4],"is":[5,137,164,176,190,212],"to":[6],"correct":[7,25],"an":[8,60,117],"error":[9],"made":[10],"by":[11],"Con":[12],"et":[13],"al.":[14],"(2023),":[15],"specifically":[16],"in":[17,172,200],"the":[18,26,99,160,187,209],"proof":[19,27],"Theorem":[21,101,173],"9.":[22],"Here":[23,96],"we":[24,32,40,97],"but":[28],"as":[29],"a":[30,34,138],"consequence":[31],"get":[33],"slightly":[35],"weaker":[36],"result.":[37],"In":[38],"Theorem9,":[39],"claimed":[41],"that":[42,49,69,141,159],"for":[43,202],"integers":[44,104],"k":[45],"and":[46,106,199],"n":[47,105,163],"such":[48],"<inline-formula":[50,61,73,82,107,118,126,145,165,177,193,203,215],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51,62,74,83,108,119,127,146,166,178,194,204,216],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[52,63,75,84,109,120,128,147,167,179,195,205,217],"<tex-math":[53,64,76,85,110,121,129,148,168,180,196,206,218],"notation=\"LaTeX\">$k":[54,111],"\\lt":[55,112],"n/9$":[56,113],"</tex-math></inline-formula>,":[57,114,198],"there":[58,115],"exists":[59,116],"notation=\"LaTeX\">$[n,k]_{q}$":[65,122],"</tex-math></inline-formula>":[66,78,123,136,154,170,208],"RS":[67],"code":[68],"can":[70,142],"decode":[71,143],"from":[72,144],"notation=\"LaTeX\">$n-2k+1$":[77],"insdel":[79,156],"errors":[80],"where":[81,125],"notation=\"LaTeX\">$q":[86],"=":[87],"O\\left":[88],"({{k^{5}":[89],"\\left":[90,133],"({{":[91],"\\frac":[92],"{en}{k-1}":[93],"}}\\right)^{4k-4}}}\\right)$":[94],"</tex-math></inline-formula>.":[95,182,220],"prove":[98],"following.":[100],"1:":[102],"For":[103,183],"RS-code,":[124],"notation=\"LaTeX\">$q=O\\left":[130],"({{k^{4}":[131],"\\cdot":[132],"({{\\frac":[134],"{4en}{4k-3}}}\\right)^{4k-3}}}\\right)$":[135],"prime":[139],"power,":[140],"notation=\"LaTeX\">$n":[149],"-":[150],"2k":[151],"+":[152],"1$":[153],"adversarial":[155],"errors.":[157],"Note":[158],"exponent":[161],"notation=\"LaTeX\">$4k-3$":[169],"whereas":[171],"9":[174],"it":[175],"notation=\"LaTeX\">$4k-4$":[181],"constant":[184],"dimensional":[185],"codes,":[186],"field":[188,210],"size":[189,211],"order":[192,214],"notation=\"LaTeX\">$O(n^{4k-3})$":[197],"particular,":[201],"notation=\"LaTeX\">$k=2$":[207],"notation=\"LaTeX\">$O(n^{5})$":[219]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-02-04T00:00:00"}
