{"id":"https://openalex.org/W3174873565","doi":"https://doi.org/10.1109/isit45174.2021.9517922","title":"On Levenshtein Balls with Radius One","display_name":"On Levenshtein Balls with Radius One","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3174873565","doi":"https://doi.org/10.1109/isit45174.2021.9517922","mag":"3174873565"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517922","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517922","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.01681","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070410810","display_name":"Daniella Bar-Lev","orcid":"https://orcid.org/0000-0001-6766-1450"},"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":"Daniella Bar-Lev","raw_affiliation_strings":["Technion-Israel Institute of Technology,Dept. of Computer Science,Haifa,Israel,3200003","Technion-Israel Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology,Dept. of Computer Science,Haifa,Israel,3200003","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062149532","display_name":"Tuvi Etzion","orcid":"https://orcid.org/0000-0002-4315-4400"},"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":"Tuvi Etzion","raw_affiliation_strings":["Technion-Israel Institute of Technology,Dept. of Computer Science,Haifa,Israel,3200003","Technion-Israel Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology,Dept. of Computer Science,Haifa,Israel,3200003","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]},{"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":["Technion-Israel Institute of Technology,Dept. of Computer Science,Haifa,Israel,3200003","Technion-Israel Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology,Dept. of Computer Science,Haifa,Israel,3200003","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070410810"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05595179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1979","last_page":"1984"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9988999962806702,"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.991599977016449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.8252071142196655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6739909648895264},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.6185687184333801},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5579224228858948},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5090498328208923},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.42746859788894653},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35950642824172974},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3409044146537781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11189773678779602}],"concepts":[{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.8252071142196655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6739909648895264},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.6185687184333801},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5579224228858948},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5090498328208923},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.42746859788894653},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35950642824172974},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3409044146537781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11189773678779602},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit45174.2021.9517922","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517922","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"},{"id":"pmh:oai:arXiv.org:2103.01681","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.01681","pdf_url":"https://arxiv.org/pdf/2103.01681","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3174873565","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2103.01681.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2103.01681","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.01681","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.01681","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.01681","pdf_url":"https://arxiv.org/pdf/2103.01681","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2848719540","display_name":null,"funder_award_id":"222/19","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G2957376440","display_name":null,"funder_award_id":"2018048","funder_id":"https://openalex.org/F4320320950","funder_display_name":"United States-Israel Binational Science Foundation"},{"id":"https://openalex.org/G5493248476","display_name":null,"funder_award_id":"222/19","funder_id":"https://openalex.org/F4320313643","funder_display_name":"Iowa Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320313643","display_name":"Iowa Science Foundation","ror":null},{"id":"https://openalex.org/F4320320950","display_name":"United States-Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3174873565.pdf","grobid_xml":"https://content.openalex.org/works/W3174873565.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1647671624","https://openalex.org/W1969151232","https://openalex.org/W2025383314","https://openalex.org/W2068250877","https://openalex.org/W2150830972","https://openalex.org/W2162980030","https://openalex.org/W2170653881","https://openalex.org/W2788257106","https://openalex.org/W2951269465","https://openalex.org/W2962809499","https://openalex.org/W2963044831","https://openalex.org/W2971175287","https://openalex.org/W2974238532","https://openalex.org/W2976380679","https://openalex.org/W3081119335","https://openalex.org/W3106461644","https://openalex.org/W3122167268","https://openalex.org/W6636915900","https://openalex.org/W6735672169","https://openalex.org/W6768102985"],"related_works":["https://openalex.org/W3198153501","https://openalex.org/W2854640092","https://openalex.org/W2380777245","https://openalex.org/W2816711330","https://openalex.org/W2854847535","https://openalex.org/W2879240223","https://openalex.org/W3147751681","https://openalex.org/W2880244782","https://openalex.org/W2322769271","https://openalex.org/W2862972492","https://openalex.org/W2821700542","https://openalex.org/W2877883835","https://openalex.org/W2604734757","https://openalex.org/W2608904907","https://openalex.org/W2283336127","https://openalex.org/W2831919145","https://openalex.org/W2848529716","https://openalex.org/W2852047421","https://openalex.org/W2853606551","https://openalex.org/W2847054234"],"abstract_inverted_index":{"The":[0,55,70,120],"rapid":[1],"development":[2],"of":[3,19,24,31,51,57,62,72,86,91,95,110,126],"DNA":[4],"storage":[5],"has":[6],"brought":[7],"the":[8,16,22,29,33,42,46,52,63,73,79,84,89,92,96,104,117],"deletion":[9],"and":[10,88,107,123],"insertion":[11],"channel,":[12],"once":[13],"again,":[14],"to":[15,28],"front":[17],"line":[18],"research.":[20],"When":[21],"number":[23,30,85],"deletions":[25],"is":[26,41,60],"equal":[27],"insertions,":[32],"Fixed":[34],"Length":[35],"Levenshtein":[36],"<tex":[37],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[38],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$(FLL)$</tex>":[39],"metric":[40,81],"right":[43],"measure":[44],"for":[45],"distance":[47],"between":[48],"two":[49],"words":[50],"same":[53],"length.":[54],"size":[56,71,109],"a":[58,111,127],"ball":[59,74,112],"one":[61,77,132],"most":[64],"fundamental":[65],"parameters":[66],"in":[67,78,116],"any":[68],"metric.":[69,119],"with":[75,113,130],"radius":[76,114],"FLL":[80,118],"depends":[82],"on":[83],"runs":[87],"length":[90],"alternating":[93],"segments":[94],"given":[97],"word.":[98],"In":[99],"this":[100],"work,":[101],"we":[102],"find":[103],"minimum,":[105],"maximum,":[106],"average":[108],"one,":[115],"related":[121],"minimum":[122],"maximum":[124],"sizes":[125],"maximal":[128],"anticode":[129],"diameter":[131],"are":[133],"also":[134],"calculated.":[135]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}