{"id":"https://openalex.org/W1533424905","doi":"https://doi.org/10.1109/pimrc.2005.1651608","title":"Improved Upper Bound for Erasure Recovery in Binary Product Codes","display_name":"Improved Upper Bound for Erasure Recovery in Binary Product Codes","publication_year":2006,"publication_date":"2006-08-02","ids":{"openalex":"https://openalex.org/W1533424905","doi":"https://doi.org/10.1109/pimrc.2005.1651608","mag":"1533424905"},"language":"en","primary_location":{"id":"doi:10.1109/pimrc.2005.1651608","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2005.1651608","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications","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/A5046232409","display_name":"Ali Al\u2010Shaikhi","orcid":"https://orcid.org/0000-0002-8947-993X"},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"A.A. Al-Shaikhi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Dalhousie University, Halifax, NS, Canada","Dept. of Electr. & Comput. Sci., Dalhousie Univ., Halifax, NS"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Dalhousie University, Halifax, NS, Canada","institution_ids":["https://openalex.org/I129902397"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Sci., Dalhousie Univ., Halifax, NS","institution_ids":["https://openalex.org/I129902397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113492544","display_name":"Jacek Ilow","orcid":null},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Ilow","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Dalhousie University, Halifax, NS, Canada","Dept. of Electr. & Comput. Sci., Dalhousie Univ., Halifax, NS"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Dalhousie University, Halifax, NS, Canada","institution_ids":["https://openalex.org/I129902397"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Sci., Dalhousie Univ., Halifax, NS","institution_ids":["https://openalex.org/I129902397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046232409"],"corresponding_institution_ids":["https://openalex.org/I129902397"],"apc_list":null,"apc_paid":null,"fwci":1.3552,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8323853,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1086","last_page":"1090"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9987999796867371,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9987999796867371,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9977999925613403,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9958999752998352,"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/erasure","display_name":"Erasure","score":0.8305453658103943},{"id":"https://openalex.org/keywords/online-codes","display_name":"Online codes","score":0.7709351778030396},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.7672150135040283},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.6818869113922119},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6381872296333313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6266459822654724},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.561257541179657},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5217279195785522},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5093344449996948},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5008926391601562},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.49976205825805664},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4973123371601105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48296040296554565},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4769931435585022},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.45570310950279236},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3622094690799713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28193551301956177},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.24823617935180664},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07536330819129944}],"concepts":[{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.8305453658103943},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.7709351778030396},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.7672150135040283},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.6818869113922119},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6381872296333313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6266459822654724},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.561257541179657},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5217279195785522},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5093344449996948},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5008926391601562},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.49976205825805664},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4973123371601105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48296040296554565},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4769931435585022},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.45570310950279236},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3622094690799713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28193551301956177},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.24823617935180664},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07536330819129944},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pimrc.2005.1651608","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2005.1651608","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2042287298","https://openalex.org/W2058934234","https://openalex.org/W2112429754","https://openalex.org/W2120511508","https://openalex.org/W2145118110","https://openalex.org/W2146026087","https://openalex.org/W2146054228","https://openalex.org/W2151352110","https://openalex.org/W2155498685","https://openalex.org/W6678112637"],"related_works":["https://openalex.org/W2116479807","https://openalex.org/W2127908002","https://openalex.org/W2158669549","https://openalex.org/W1533424905","https://openalex.org/W2744779861","https://openalex.org/W2053950481","https://openalex.org/W2149057203","https://openalex.org/W1971149437","https://openalex.org/W2105667212","https://openalex.org/W2604463289"],"abstract_inverted_index":{"Product":[0],"codes":[1,4,27],"are":[2,97],"powerful":[3],"that":[5],"can":[6],"be":[7],"used":[8],"to":[9,21],"correct":[10],"errors":[11],"and/or":[12],"recover":[13],"erasures.":[14],"The":[15,94],"focus":[16],"of":[17,25,37,54,64],"this":[18,77],"paper":[19,78],"is":[20,46,51,121],"evaluate":[22],"the":[23,29,33,49,62,68,73,85,115],"performance":[24,36],"such":[26],"under":[28],"erasure":[30,34,57,75,87],"scenarios.":[31],"Judging":[32],"recovery":[35],"a":[38,80],"product":[39,92,109],"code":[40,50],"based":[41],"on":[42,84],"its":[43],"minimum":[44,69],"distance":[45],"pessimistic":[47],"because":[48],"actually":[52],"capable":[53],"recovering":[55],"many":[56],"patterns":[58],"beyond":[59],"those":[60],"with":[61],"number":[63],"erasures":[65],"determined":[66],"by":[67],"distance.":[70],"By":[71],"investigating":[72],"non-correctable":[74],"patterns,":[76],"develops":[79],"tight":[81],"upper":[82],"bound":[83],"post-decoding":[86],"rate":[88],"for":[89],"any":[90],"binary":[91],"code.":[93],"analytical":[95],"derivations":[96],"verified":[98],"through":[99],"computer":[100],"simulations":[101],"using":[102],"Hamming":[103],"and":[104,118],"single":[105],"parity":[106],"check":[107],"(SPC)":[108],"codes.":[110],"A":[111],"good":[112],"agreement":[113],"between":[114],"derived":[116],"formulas":[117],"simulation":[119],"results":[120],"documented":[122]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}