{"id":"https://openalex.org/W2153395821","doi":"https://doi.org/10.1109/ita.2011.5743605","title":"On optimal anticodes over permutations with the infinity norm","display_name":"On optimal anticodes over permutations with the infinity norm","publication_year":2011,"publication_date":"2011-02-01","ids":{"openalex":"https://openalex.org/W2153395821","doi":"https://doi.org/10.1109/ita.2011.5743605","mag":"2153395821"},"language":"en","primary_location":{"id":"doi:10.1109/ita.2011.5743605","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2011.5743605","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Information Theory and Applications Workshop","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/1004.1938","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085150941","display_name":"Itzhak Tamo","orcid":"https://orcid.org/0000-0002-8000-0419"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Itzhak Tamo","raw_affiliation_strings":["Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beersheba, Israel","Electrical and Computer Eng., Ben-Gurion University, Beer Sheva 84105, Israel"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Electrical and Computer Eng., Ben-Gurion University, Beer Sheva 84105, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054043026","display_name":"Moshe Schwartz","orcid":"https://orcid.org/0000-0002-1449-0026"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Moshe Schwartz","raw_affiliation_strings":["Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beersheba, Israel","Electrical and Computer Eng., Ben-Gurion University, Beer Sheva 84105, Israel"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Electrical and Computer Eng., Ben-Gurion University, Beer Sheva 84105, Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085150941"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16435431,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991000294685364,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.714030385017395},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.6997396945953369},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6216301918029785},{"id":"https://openalex.org/keywords/uniform-norm","display_name":"Uniform norm","score":0.5676777362823486},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5152042508125305},{"id":"https://openalex.org/keywords/rest","display_name":"Rest (music)","score":0.45550253987312317},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4427964985370636},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4426642656326294},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4064374566078186},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3244650959968567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18828099966049194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14427229762077332},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06716617941856384}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.714030385017395},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.6997396945953369},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6216301918029785},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.5676777362823486},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5152042508125305},{"id":"https://openalex.org/C77265313","wikidata":"https://www.wikidata.org/wiki/Q879844","display_name":"Rest (music)","level":2,"score":0.45550253987312317},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4427964985370636},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4426642656326294},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4064374566078186},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3244650959968567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18828099966049194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14427229762077332},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06716617941856384},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/ita.2011.5743605","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ita.2011.5743605","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Information Theory and Applications Workshop","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1004.1938","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1004.1938","pdf_url":"https://arxiv.org/pdf/1004.1938","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":"","raw_type":"text"},{"id":"mag:2153395821","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1004.1938.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":"pmh:oai:CiteSeerX.psu:10.1.1.434.8938","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.8938","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ee.bgu.ac.il/~schwartz/publications/MSconf17.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.760.7879","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.760.7879","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1004.1938.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1004.1938","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1004.1938","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:1004.1938","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1004.1938","pdf_url":"https://arxiv.org/pdf/1004.1938","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1573979280","https://openalex.org/W2093282530","https://openalex.org/W2115370421","https://openalex.org/W2128970384","https://openalex.org/W2144030381","https://openalex.org/W2171980820","https://openalex.org/W6604469142"],"related_works":["https://openalex.org/W136713864","https://openalex.org/W2584525130","https://openalex.org/W2949396328","https://openalex.org/W3017219222","https://openalex.org/W1527512254","https://openalex.org/W2091233766","https://openalex.org/W804266806","https://openalex.org/W2294212353","https://openalex.org/W2950631834","https://openalex.org/W3207925027","https://openalex.org/W2250775726","https://openalex.org/W1519021910","https://openalex.org/W2575797545","https://openalex.org/W2533199277","https://openalex.org/W2088355106","https://openalex.org/W3186482096","https://openalex.org/W2135928028","https://openalex.org/W2489729120","https://openalex.org/W3098872886","https://openalex.org/W2964179353"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"the":[2,10,22,28,36,43,46,52],"set-antiset":[3],"method":[4],"for":[5],"codes":[6],"over":[7],"permutations":[8],"under":[9,16],"infinity":[11],"norm,":[12],"we":[13,25,48],"study":[14],"anticodes":[15],"this":[17],"metric.":[18],"For":[19,42],"half":[20],"of":[21,39,45,54],"parameter":[23],"range":[24],"classify":[26],"all":[27],"optimal":[29,55],"anticodes,":[30],"which":[31],"is":[32],"equivalent":[33],"to":[34],"finding":[35],"maximum":[37],"permanent":[38],"certain":[40],"$(0,1)$-matrices.":[41],"rest":[44],"cases":[47],"show":[49],"constraints":[50],"on":[51],"structure":[53],"anticodes.":[56]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}