{"id":"https://openalex.org/W2742107201","doi":"https://doi.org/10.1109/tit.2017.2789292","title":"Codes in the Space of Multisets\u2014Coding for Permutation Channels With Impairments","display_name":"Codes in the Space of Multisets\u2014Coding for Permutation Channels With Impairments","publication_year":2018,"publication_date":"2018-01-09","ids":{"openalex":"https://openalex.org/W2742107201","doi":"https://doi.org/10.1109/tit.2017.2789292","mag":"2742107201"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2789292","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2789292","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1612.08837","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mladen Kovacevic","orcid":"https://orcid.org/0000-0002-2395-7628"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Mladen Kovacevic","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-2395-7628","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":null,"display_name":"Vincent Y. F. Tan","orcid":"https://orcid.org/0000-0002-5008-4527"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Vincent Y. F. Tan","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-5008-4527","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.2332,"has_fulltext":false,"cited_by_count":71,"citation_normalized_percentile":{"value":0.88742098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"64","issue":"7","first_page":"5156","last_page":"5169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.835099995136261,"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":0.835099995136261,"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/T11797","display_name":"graph theory and CDMA systems","score":0.016100000590085983,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.014499999582767487,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6013000011444092},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5077000260353088},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4916999936103821},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.4796999990940094},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.4740999937057495},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4551999866962433},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.4507000148296356},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4269999861717224},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.3939000070095062}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6013000011444092},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5837000012397766},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5077000260353088},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49410000443458557},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4916999936103821},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.4796999990940094},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.4740999937057495},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4551999866962433},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.4507000148296356},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4269999861717224},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.3939000070095062},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3734999895095825},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.3537999987602234},{"id":"https://openalex.org/C76132124","wikidata":"https://www.wikidata.org/wiki/Q5474786","display_name":"Fountain code","level":5,"score":0.34769999980926514},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3352999985218048},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.3222000002861023},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.321399986743927},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.314300000667572},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.3012999892234802},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3000999987125397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2996000051498413},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.29490000009536743},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.28690001368522644},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.2745000123977661},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.2700999975204468},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2563000023365021},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25429999828338623},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2017.2789292","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2789292","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"},{"id":"pmh:oai:arXiv.org:1612.08837","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1612.08837","pdf_url":"https://arxiv.org/pdf/1612.08837","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1612.08837","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1612.08837","pdf_url":"https://arxiv.org/pdf/1612.08837","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W200511831","https://openalex.org/W1584248758","https://openalex.org/W1892868620","https://openalex.org/W1977565656","https://openalex.org/W1979482664","https://openalex.org/W1998087361","https://openalex.org/W2009888012","https://openalex.org/W2011638021","https://openalex.org/W2026762025","https://openalex.org/W2029448413","https://openalex.org/W2032605678","https://openalex.org/W2033489004","https://openalex.org/W2040989249","https://openalex.org/W2053482345","https://openalex.org/W2060143607","https://openalex.org/W2067495494","https://openalex.org/W2070938277","https://openalex.org/W2082173153","https://openalex.org/W2101208289","https://openalex.org/W2107886154","https://openalex.org/W2113659224","https://openalex.org/W2128465722","https://openalex.org/W2128970384","https://openalex.org/W2130041015","https://openalex.org/W2136531262","https://openalex.org/W2137836566","https://openalex.org/W2142192665","https://openalex.org/W2145669595","https://openalex.org/W2160103937","https://openalex.org/W2163713515","https://openalex.org/W2169854370","https://openalex.org/W2260681306","https://openalex.org/W2340242219","https://openalex.org/W2565502246","https://openalex.org/W2569540185","https://openalex.org/W2575096499","https://openalex.org/W2615068531","https://openalex.org/W2764312012","https://openalex.org/W2963561675","https://openalex.org/W3042934413","https://openalex.org/W4234803039","https://openalex.org/W4241437878","https://openalex.org/W4251020222","https://openalex.org/W4255389307","https://openalex.org/W4292408570","https://openalex.org/W6604469142","https://openalex.org/W6637427731"],"related_works":[],"abstract_inverted_index":{"Motivated":[0],"by":[1,17,61],"communication":[2],"channels":[3],"in":[4,28,35,53,104,113,137,145],"which":[5,54],"the":[6,24,31,36,55,82,99,114,117,138],"transmitted":[7,56],"sequences":[8],"are":[9,58,77,93],"subjected":[10],"to":[11,110,134],"random":[12],"permutations,":[13],"as":[14,16],"well":[15],"certain":[18],"DNA":[19],"storage":[20],"systems,":[21],"we":[22],"study":[23],"error":[25,125],"control":[26],"problem":[27],"settings":[29],"where":[30],"information":[32],"is":[33,51,108,131],"stored/transmitted":[34],"form":[37],"of":[38,40,67,71,84,91,101,116,120,141],"multisets":[39,57],"symbols":[41],"from":[42],"a":[43],"given":[44,89],"finite":[45,105],"alphabet.":[46],"A":[47],"general":[48],"channel":[49,76],"model":[50],"assumed":[52],"potentially":[59],"impaired":[60],"insertions,":[62],"deletions,":[63],"substitutions,":[64],"and":[65,79,127],"erasures":[66],"symbols.":[68],"Several":[69],"constructions":[70],"error-correcting":[72],"codes":[73,86],"for":[74,123],"this":[75],"described,":[78],"bounds":[80],"on":[81,98],"size":[83],"optimal":[85,136],"correcting":[87],"any":[88,124],"number":[90],"errors":[92],"derived.":[94],"The":[95],"construction":[96],"based":[97],"notion":[100],"Sidon":[102],"sets":[103],"Abelian":[106],"groups":[107],"shown":[109,133],"be":[111,135],"optimal,":[112],"sense":[115,140],"asymptotic":[118],"scaling":[119],"code":[121,143],"redundancy,":[122],"radius":[126],"alphabet":[128],"size.":[129],"It":[130],"also":[132],"stronger":[139],"maximal":[142],"cardinality":[144],"various":[146],"cases.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2017-08-08T00:00:00"}
