{"id":"https://openalex.org/W2039135323","doi":"https://doi.org/10.1109/isit.2012.6284658","title":"On symmetric/asymmetric Lee distance error control codes and elementary symmetric functions","display_name":"On symmetric/asymmetric Lee distance error control codes and elementary symmetric functions","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2039135323","doi":"https://doi.org/10.1109/isit.2012.6284658","mag":"2039135323"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2012.6284658","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2012.6284658","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},"type":"conference-paper","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/A5002622368","display_name":"Luca G. Tallini","orcid":"https://orcid.org/0000-0003-4238-173X"},"institutions":[{"id":"https://openalex.org/I124326101","display_name":"University of Teramo","ror":"https://ror.org/01yetye73","country_code":"IT","type":"education","lineage":["https://openalex.org/I124326101"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca G. Tallini","raw_affiliation_strings":["Dipartimento di Scienze della Comunicazione, Universit\u00e0 degli Studi di Teramo, Teramo, Italy","Dip. di Scienze della Comunicazione, Universit\u00e0 degli Studi di Teramo, Coste San Agostino, 64100 Teramo. Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze della Comunicazione, Universit\u00e0 degli Studi di Teramo, Teramo, Italy","institution_ids":["https://openalex.org/I124326101"]},{"raw_affiliation_string":"Dip. di Scienze della Comunicazione, Universit\u00e0 degli Studi di Teramo, Coste San Agostino, 64100 Teramo. Italy","institution_ids":["https://openalex.org/I124326101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108277072","display_name":"Bella Bose","orcid":null},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bella Bose","raw_affiliation_strings":["School of EECS, Oregon State University, Corvallis, OR, USA","School of EECS, Oregon State University, Corvallis, OR, 97331, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of EECS, Oregon State University, Corvallis, OR, USA","institution_ids":["https://openalex.org/I131249849"]},{"raw_affiliation_string":"School of EECS, Oregon State University, Corvallis, OR, 97331, USA","institution_ids":["https://openalex.org/I131249849"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0407,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7551264,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"746","last_page":"750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T12029","display_name":"DNA and Biological Computing","score":0.9836999773979187,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9769999980926514,"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/cardinality","display_name":"Cardinality (data modeling)","score":0.7116088271141052},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5130544900894165},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4871475398540497},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42212235927581787},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32210981845855713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3028393089771271},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1264478862285614}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7116088271141052},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5130544900894165},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4871475398540497},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42212235927581787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32210981845855713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3028393089771271},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1264478862285614},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2012.6284658","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2012.6284658","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:research.unite.it:11575/3038","is_oa":false,"landing_page_url":"http://hdl.handle.net/11575/3038","pdf_url":null,"source":{"id":"https://openalex.org/S4306401171","display_name":"UniTERAMO Research Catalog (University of Teramo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124326101","host_organization_name":"University of Teramo","host_organization_lineage":["https://openalex.org/I124326101"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1537824340","https://openalex.org/W2018175171","https://openalex.org/W2086644100","https://openalex.org/W2096337439","https://openalex.org/W2105897560","https://openalex.org/W2125191148","https://openalex.org/W2147555059","https://openalex.org/W2895239415","https://openalex.org/W6910292315"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2002177687","https://openalex.org/W2077600819","https://openalex.org/W3101703006","https://openalex.org/W24519920","https://openalex.org/W2087778462"],"abstract_inverted_index":{"This":[0],"paper":[1],"gives":[2],"some":[3,56,159],"new":[4,48,57],"theory":[5],"and":[6,58,86,102,116],"design":[7,47],"of":[8,11,33,113,135,146,160],"codes":[9,63,111,162],"capable":[10,122],"correcting/detecting":[12],"errors":[13,128],"measured":[14],"under":[15],"the":[16,28,34,65,131,147],"Lee":[17,66,133],"distance":[18,134],"defined":[19],"over":[20],"m-ary":[21,110],"words,":[22],"m":[23,90],"\u2208":[24,94],"IN.":[25],"Based":[26],"on":[27],"elementary":[29],"symmetric":[30,49,127],"functions":[31],"(instead":[32],"power":[35],"sums),":[36],"a":[37],"key":[38],"equation":[39],"is":[40,71,76,137],"derived":[41],"which":[42],"can":[43],"be":[44],"used":[45],"to":[46,169],"(or,":[50],"asymmetric)":[51],"error":[52,61],"control":[53,62],"algorithms":[54],"for":[55,64],"already":[59],"known":[60],"metric.":[67],"In":[68],"particular,":[69],"it":[70],"shown":[72],"that":[73,98],"if":[74,152],"K":[75],"any":[77],"field":[78],"with":[79,143],"characteristic":[80],"char(K)":[81],"=":[82,91],"p,":[83],"p":[84],"odd,":[85],"u,":[87],"h,":[88],"n,":[89],"uph,":[92],"t":[93,103,126,144,153],"IN":[95],"are":[96,121,163],"such":[97],"n":[99,115],"\u2264":[100,104,154],"(|K|-1)/2":[101],"(ph-":[105],"1)/2":[106,157],"then":[107,158],"there":[108],"exist":[109],"C":[112,136],"length":[114],"cardinality":[117],"|C|":[118],"\u2265":[119,139],"mn/|K|twhich":[120],"of,":[123],"say,":[124],"correcting":[125],"(i.":[129],"e.,":[130],"minimum":[132],"dLee(C)":[138],"2t":[140],"+":[141],"1)":[142],"steps":[145],"Extended":[148],"Euclidean":[149],"Algorithm.":[150],"Furthermore,":[151],"(p":[155],"-":[156],"these":[161],"(essentially)":[164],"linear":[165],"and,":[166],"hence,":[167],"easy":[168],"encode.":[170]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}