{"id":"https://openalex.org/W2147288899","doi":"https://doi.org/10.1109/isit.2004.1365099","title":"On a conjecture of majani and rumsey","display_name":"On a conjecture of majani and rumsey","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2147288899","doi":"https://doi.org/10.1109/isit.2004.1365099","mag":"2147288899"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365099","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365099","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-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/A5108537714","display_name":"Xue-Bin Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xue-Bin Liang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA, USA","Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA, USA","institution_ids":["https://openalex.org/I121820613"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108537714"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.1796242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"62","last_page":"62"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8201284408569336},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6197924613952637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46968844532966614},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.43579035997390747},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43305543065071106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4087860584259033},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4052758812904358},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3275483548641205},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.30224609375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11279156804084778}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8201284408569336},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6197924613952637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46968844532966614},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.43579035997390747},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43305543065071106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4087860584259033},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4052758812904358},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3275483548641205},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.30224609375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11279156804084778}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2004.1365099","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365099","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},{"id":"pmh:oai:digitalcommons.lsu.edu:eecs_pubs-1840","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/eecs_pubs/841","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:eecs_pubs-1840","is_oa":false,"landing_page_url":"https://repository.lsu.edu/eecs_pubs/841","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"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/W1515040589","https://openalex.org/W1894729687","https://openalex.org/W1989008275","https://openalex.org/W2091436400","https://openalex.org/W2099111195","https://openalex.org/W2111698975","https://openalex.org/W2142901448","https://openalex.org/W6676935549","https://openalex.org/W6806087461"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W4288279572","https://openalex.org/W1973978937","https://openalex.org/W4286909116","https://openalex.org/W2952185452"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,5,26],"proof":[3],"for":[4],"conjecture":[6],"of":[7,18,25,54],"Majani":[8],"and":[9],"Rumsey":[10],"(1991),":[11],"which":[12],"claims":[13],"that":[14],"every":[15],"probability":[16,22],"component":[17],"each":[19],"capacity-achieving":[20],"input":[21],"distribution":[23],"(IPD)":[24],"finite-input":[27],"finite-output":[28],"discrete":[29],"memoryless":[30],"channel":[31],"(DMC)":[32],"with":[33],"positive":[34],"capacity":[35],"is":[36,51],"less":[37],"than":[38],"1":[39],"-":[40],"1/e,":[41],"where":[42],"e":[43],"=":[44,49],"1+1/1!":[45],"+1/2!":[46],"+1/3!":[47],"+....":[48],"2.71828182...":[50],"the":[52],"base":[53],"natural":[55],"logarithms.":[56]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}