{"id":"https://openalex.org/W4410028565","doi":"https://doi.org/10.1109/tit.2025.3566600","title":"Explicit Good Codes Approaching Distance 1 in Ulam Metric","display_name":"Explicit Good Codes Approaching Distance 1 in Ulam Metric","publication_year":2025,"publication_date":"2025-05-02","ids":{"openalex":"https://openalex.org/W4410028565","doi":"https://doi.org/10.1109/tit.2025.3566600"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3566600","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3566600","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/A5043150895","display_name":"Elazar Goldenberg","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Elazar Goldenberg","raw_affiliation_strings":["School of Computer Science, The Academic College of Tel Aviv-Yaffo, Tel Aviv, Israel","The Academic College of Tel Aviv-Yaffo, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, The Academic College of Tel Aviv-Yaffo, Tel Aviv, Israel","institution_ids":["https://openalex.org/I4210141777"]},{"raw_affiliation_string":"The Academic College of Tel Aviv-Yaffo, Israel","institution_ids":["https://openalex.org/I4210141777"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041017362","display_name":"Mursalin Habib","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mursalin Habib","raw_affiliation_strings":["Department of Computer Science, Rutgers University, Piscataway, NJ, USA","Rutgers University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rutgers University, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066903534","display_name":"C. S. Karthik","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karthik C. S.","raw_affiliation_strings":["Department of Computer Science, Rutgers University, Piscataway, NJ, USA","Rutgers University, USA"],"raw_orcid":"https://orcid.org/0000-0001-9105-364X","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rutgers University, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043150895"],"corresponding_institution_ids":["https://openalex.org/I4210141777"],"apc_list":null,"apc_paid":null,"fwci":2.1733,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.88193359,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"71","issue":"7","first_page":"5082","last_page":"5088"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9684000015258789,"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":0.9684000015258789,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9635000228881836,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9567999839782715,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5260802507400513},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46484488248825073},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4457660913467407},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3320544362068176},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33171546459198},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09164124727249146}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5260802507400513},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46484488248825073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4457660913467407},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3320544362068176},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33171546459198},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09164124727249146},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3566600","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3566600","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/G4080296378","display_name":null,"funder_award_id":"CCF-2313372","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G5151220341","display_name":null,"funder_award_id":"CCF-2313372","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8260862973","display_name":null,"funder_award_id":"825876","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1487872891","https://openalex.org/W1632865797","https://openalex.org/W1970898500","https://openalex.org/W1996118782","https://openalex.org/W2003354802","https://openalex.org/W2040651417","https://openalex.org/W2045343456","https://openalex.org/W2049706221","https://openalex.org/W2066885472","https://openalex.org/W2077116152","https://openalex.org/W2110230249","https://openalex.org/W2115370421","https://openalex.org/W2140899540","https://openalex.org/W2144030381","https://openalex.org/W2148602768","https://openalex.org/W2153267198","https://openalex.org/W2159193690","https://openalex.org/W2293169577","https://openalex.org/W2914567979","https://openalex.org/W4387505291","https://openalex.org/W4401691983","https://openalex.org/W6632410988","https://openalex.org/W6732802510"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":{"The":[0],"Ulam":[1,83,141,208,252],"distance":[2,84,142,209,229],"between":[3],"two":[4],"permutations":[5,66,76,195],"on":[6,67,126,175,196,227],"[<italic":[7,68,127,197],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,49,59,63,69,79,92,100,102,107,111,120,128,137,190,192,198,213,235],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>]":[9,129],"is":[10,54,147,184,247],"n":[11],"minus":[12],"the":[13,98,140,225,228,242,251],"length":[14],"of":[15,61,75,143,160,166,204,244],"their":[16],"longest":[17],"common":[18],"subsequence.":[19],"In":[20],"this":[21],"paper,":[22],"we":[23,95],"show":[24],"that":[25,45,72,182,201],"for":[26,46,219],"every":[27,73,202],"\u03c1":[28,221],">":[29,35,222],"0,":[30,36,223],"there":[31,53],"exists":[32],"some":[33],"\u03f5":[34],"and":[37,114,145,162,168,171,224],"an":[38,55],"infinite":[39],"set":[40,57],"\u0393":[41],"\u2286":[42],"N,":[43],"such":[44,71,200],"all":[47],"<italic":[48,58,78,91,99,106,136,212,234],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>":[50],"\u2208":[51],"\u0393,":[52],"explicit":[56],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C<sub>n</sub></i>":[60,80,108],"(<italic":[62,189],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>!)\u03f5":[64],"many":[65,194],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>],":[70,199],"pair":[74,203],"in":[77,105,109,118,135,178,250],"has":[81],"pairwise":[82,207],"at":[85,210],"least":[86,211],"(1":[87,216,238],"\u2212":[88,217,239],"\u03c1)":[89,240],"\u00b7":[90,215,237],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>.":[93],"Moreover,":[94],"can":[96,115,230],"compute":[97],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</i><sup":[101],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">th</sup>":[103],"permutation":[104,124,133],"poly(<italic":[110,119],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>)":[112,121],"time":[113],"also":[116],"decode":[117],"time,":[122],"a":[123,179],"\u03c0":[125,144],"to":[130,186,233],"its":[131],"closest":[132],"\u03c0\u2217":[134,146],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C<sub>n</sub></i>,":[138],"if":[139,241],"less":[148],"than":[149],"(1\u2212\u03c1)\u00b7n/4":[150],".":[151],"Previously,":[152],"it":[153,183],"was":[154],"implicitly":[155],"known":[156],"by":[157],"combining":[158],"works":[159],"Goldreich":[161,245],"Wigderson":[163],"[Israel":[164],"Journal":[165],"Mathematics\u201923]":[167],"Farnoud,":[169],"Skachek,":[170],"Milenkovic":[172],"[IEEE":[173],"Transactions":[174],"Information":[176],"Theory\u201913]":[177],"black-box":[180],"manner,":[181],"possible":[185],"explicitly":[187],"construct":[188],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>!)<sup":[191],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03a9(1)</sup>":[193],"them":[205],"have":[206],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>/6":[214],"\u03c1),":[218],"any":[220],"bound":[226],"be":[231],"improved":[232],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>/4":[236],"construction":[243],"andWigderson":[246],"directly":[248],"analyzed":[249],"metric.":[253]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}