{"id":"https://openalex.org/W2157587788","doi":"https://doi.org/10.1109/isit.2008.4595148","title":"Coding over an erasure channel with a large alphabet size","display_name":"Coding over an erasure channel with a large alphabet size","publication_year":2008,"publication_date":"2008-07-01","ids":{"openalex":"https://openalex.org/W2157587788","doi":"https://doi.org/10.1109/isit.2008.4595148","mag":"2157587788"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2008.4595148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2008.4595148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Information Theory","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/A5040542482","display_name":"Shervan Fashandi","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Shervan Fashandi","raw_affiliation_strings":["Electrical Communication Engineering Department, University of Waterloo, Waterloo, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical Communication Engineering Department, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111886960","display_name":"Shahab Oveis Gharan","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Shahab Oveis Gharan","raw_affiliation_strings":["Electrical Communication Engineering Department, University of Waterloo, Waterloo, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical Communication Engineering Department, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082206451","display_name":"Amir K. Khandani","orcid":"https://orcid.org/0000-0003-2896-4744"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Amir K. Khandani","raw_affiliation_strings":["Electrical Communication Engineering Department, University of Waterloo, Waterloo, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical Communication Engineering Department, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040542482"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":2.287,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.89992007,"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":"1053","last_page":"1057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9995999932289124,"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/T12029","display_name":"DNA and Biological Computing","score":0.9984999895095825,"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/erasure","display_name":"Erasure","score":0.7588346600532532},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6330097913742065},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.5692824125289917},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5026431083679199},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.4928114712238312},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4896419644355774},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.4805586636066437},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.47623422741889954},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47386598587036133},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45322662591934204},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4352858364582062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40153151750564575},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3890937566757202},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2923153042793274},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.26490920782089233},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10598167777061462}],"concepts":[{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.7588346600532532},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6330097913742065},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.5692824125289917},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5026431083679199},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.4928114712238312},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4896419644355774},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.4805586636066437},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.47623422741889954},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47386598587036133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45322662591934204},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4352858364582062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40153151750564575},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3890937566757202},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2923153042793274},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.26490920782089233},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10598167777061462},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/isit.2008.4595148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2008.4595148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.146.3677","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.146.3677","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cst.uwaterloo.ca/r/2008-06_Shervan_old.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.146.4580","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.146.4580","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cst.uwaterloo.ca/c/2008_isit_fashandi_oveisgharan.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.146.4947","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.146.4947","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cst.uwaterloo.ca/r/2008-06_Shervan.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.313.3439","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.313.3439","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/0805.4440v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1502961723","https://openalex.org/W1557359310","https://openalex.org/W1880538223","https://openalex.org/W1966214710","https://openalex.org/W1975035859","https://openalex.org/W1989008275","https://openalex.org/W2003087207","https://openalex.org/W2005530146","https://openalex.org/W2016312880","https://openalex.org/W2076216982","https://openalex.org/W2083468851","https://openalex.org/W2099111195","https://openalex.org/W2107520978","https://openalex.org/W2115104320","https://openalex.org/W2115827190","https://openalex.org/W2138928022","https://openalex.org/W2142901448","https://openalex.org/W2164940804","https://openalex.org/W2206295654","https://openalex.org/W2293000460","https://openalex.org/W2296125569","https://openalex.org/W2478708596","https://openalex.org/W2914679068","https://openalex.org/W2993383518","https://openalex.org/W4229922087","https://openalex.org/W4238661777"],"related_works":["https://openalex.org/W2372190485","https://openalex.org/W2139769859","https://openalex.org/W2583282232","https://openalex.org/W2140357074","https://openalex.org/W2137028263","https://openalex.org/W2810502498","https://openalex.org/W2744779861","https://openalex.org/W2130518071","https://openalex.org/W2031335939","https://openalex.org/W2951344115"],"abstract_inverted_index":{"An":[0],"erasure":[1,21,51],"channel":[2,22],"with":[3,61],"a":[4,49],"fixed":[5],"alphabet":[6],"size":[7,104],"q,":[8],"where":[9],"q":[10,109],"Gt":[11],"1,":[12],"is":[13,16,67,91,96],"studied.":[14],"It":[15,66],"proved":[17],"that":[18,62,69,93],"over":[19],"any":[20],"(with":[23],"or":[24],"without":[25],"memory),":[26],"<i":[27,30,33],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[28,31,34],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">maximum</i>":[29],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">distance</i>":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">separable</i>":[35],"(MDS)":[36],"codes":[37,58],"achieve":[38],"the":[39,53,70,81,85,102],"minimum":[40],"probability":[41],"of":[42,56,63,72,87],"error":[43,54],"(assuming":[44],"maximum":[45],"likelihood":[46],"decoding).":[47],"Assuming":[48],"memoryless":[50],"channel,":[52],"exponent":[55],"MDS":[57,88],"are":[59,76],"compared":[60],"random":[64,94],"codes.":[65],"shown":[68],"envelopes":[71],"these":[73],"two":[74],"exponents":[75],"identical":[77],"for":[78],"rates":[79],"above":[80],"critical":[82],"rate.":[83],"Noting":[84],"optimality":[86],"codes,":[89],"it":[90],"concluded":[92],"coding":[95],"exponentially":[97],"optimal":[98],"as":[99,101],"long":[100],"block":[103],"N":[105,107],"satisfies":[106],"<":[108],"+":[110],"1.":[111]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
