{"id":"https://openalex.org/W2777008834","doi":"https://doi.org/10.1109/tit.2017.2789299","title":"Extended Product and Integrated Interleaved Codes","display_name":"Extended Product and Integrated Interleaved Codes","publication_year":2018,"publication_date":"2018-01-09","ids":{"openalex":"https://openalex.org/W2777008834","doi":"https://doi.org/10.1109/tit.2017.2789299","mag":"2777008834"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2789299","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2789299","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1712.08566","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003555864","display_name":"Mario Blaum","orcid":"https://orcid.org/0000-0002-5711-9411"},"institutions":[{"id":"https://openalex.org/I4210085935","display_name":"IBM Research - Almaden","ror":"https://ror.org/005w8dd04","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210085935","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mario Blaum","raw_affiliation_strings":["Almaden Research Center, IBM Research Division, San Jose, CA, USA","[Almaden Research Center, IBM Research Division, San Jose, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Almaden Research Center, IBM Research Division, San Jose, CA, USA","institution_ids":["https://openalex.org/I4210085935"]},{"raw_affiliation_string":"[Almaden Research Center, IBM Research Division, San Jose, CA, USA]","institution_ids":["https://openalex.org/I4210085935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009593859","display_name":"S. R. Hetzler","orcid":null},"institutions":[{"id":"https://openalex.org/I4210085935","display_name":"IBM Research - Almaden","ror":"https://ror.org/005w8dd04","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210085935","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven R. Hetzler","raw_affiliation_strings":["Almaden Research Center, IBM Research Division, San Jose, CA, USA","[Almaden Research Center, IBM Research Division, San Jose, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Almaden Research Center, IBM Research Division, San Jose, CA, USA","institution_ids":["https://openalex.org/I4210085935"]},{"raw_affiliation_string":"[Almaden Research Center, IBM Research Division, San Jose, CA, USA]","institution_ids":["https://openalex.org/I4210085935"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003555864"],"corresponding_institution_ids":["https://openalex.org/I4210085935"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00762814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":"3","first_page":"1497","last_page":"1513"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9970999956130981,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9961000084877014,"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/tornado-code","display_name":"Tornado code","score":0.6764635443687439},{"id":"https://openalex.org/keywords/raptor-code","display_name":"Raptor code","score":0.6361758708953857},{"id":"https://openalex.org/keywords/luby-transform-code","display_name":"Luby transform code","score":0.6092281341552734},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5826350450515747},{"id":"https://openalex.org/keywords/online-codes","display_name":"Online codes","score":0.561018705368042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.535836398601532},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.535027027130127},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5074874758720398},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4990870952606201},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.4636014699935913},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4392206370830536},{"id":"https://openalex.org/keywords/fountain-code","display_name":"Fountain code","score":0.4326529800891876},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.43162256479263306},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.42560523748397827},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37615665793418884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36866137385368347},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34698566794395447}],"concepts":[{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.6764635443687439},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.6361758708953857},{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.6092281341552734},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5826350450515747},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.561018705368042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.535836398601532},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.535027027130127},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5074874758720398},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4990870952606201},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.4636014699935913},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4392206370830536},{"id":"https://openalex.org/C76132124","wikidata":"https://www.wikidata.org/wiki/Q5474786","display_name":"Fountain code","level":5,"score":0.4326529800891876},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.43162256479263306},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.42560523748397827},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37615665793418884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36866137385368347},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34698566794395447},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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":4,"locations":[{"id":"doi:10.1109/tit.2017.2789299","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2789299","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:1712.08566","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.08566","pdf_url":"https://arxiv.org/pdf/1712.08566","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},{"id":"mag:2777008834","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1712.08566","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1712.08566","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1712.08566","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1712.08566","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.08566","pdf_url":"https://arxiv.org/pdf/1712.08566","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2777008834.pdf","grobid_xml":"https://content.openalex.org/works/W2777008834.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W1960027378","https://openalex.org/W1975462169","https://openalex.org/W1983954825","https://openalex.org/W1984341030","https://openalex.org/W1993830711","https://openalex.org/W1997044393","https://openalex.org/W2011081940","https://openalex.org/W2014149071","https://openalex.org/W2018102393","https://openalex.org/W2022619326","https://openalex.org/W2047150880","https://openalex.org/W2050500290","https://openalex.org/W2060646539","https://openalex.org/W2061604350","https://openalex.org/W2072134075","https://openalex.org/W2076294573","https://openalex.org/W2099837838","https://openalex.org/W2114197496","https://openalex.org/W2123307753","https://openalex.org/W2124961791","https://openalex.org/W2125940459","https://openalex.org/W2138744797","https://openalex.org/W2155418912","https://openalex.org/W2158681102","https://openalex.org/W2237555274","https://openalex.org/W2267131910","https://openalex.org/W2333324284","https://openalex.org/W2392654840","https://openalex.org/W2515875549","https://openalex.org/W2535602199","https://openalex.org/W2550412208","https://openalex.org/W2557281395","https://openalex.org/W2584606140","https://openalex.org/W2591742913","https://openalex.org/W2591779659","https://openalex.org/W2745068912","https://openalex.org/W2949925098","https://openalex.org/W2964044617","https://openalex.org/W2964326991","https://openalex.org/W3100282565","https://openalex.org/W4247426172","https://openalex.org/W6602600083","https://openalex.org/W6606324823","https://openalex.org/W6634985997","https://openalex.org/W6640808514","https://openalex.org/W6714117983"],"related_works":["https://openalex.org/W2963456636","https://openalex.org/W2967614216","https://openalex.org/W1973253534","https://openalex.org/W2000271946","https://openalex.org/W2077939208","https://openalex.org/W1702809881","https://openalex.org/W2131310741","https://openalex.org/W2076129236","https://openalex.org/W3141207494","https://openalex.org/W1535801681","https://openalex.org/W2153823223","https://openalex.org/W2101048553","https://openalex.org/W2141814351","https://openalex.org/W1763349879","https://openalex.org/W2124402991","https://openalex.org/W2095944098","https://openalex.org/W2543291978","https://openalex.org/W1996587014","https://openalex.org/W2153945943","https://openalex.org/W1786295443"],"abstract_inverted_index":{"A":[0,53],"new":[1],"class":[2],"of":[3,10,17,37,56,91,130],"codes,":[4,58,63,73],"Extended":[5,59],"Product":[6],"(EPC)":[7],"Codes,":[8],"consisting":[9],"a":[11,15],"product":[12,72],"code":[13],"with":[14,94,126],"number":[16],"extra":[18],"parities":[19],"added,":[20],"is":[21,40,74,81,115],"presented":[22],"and":[23,71,76,98],"applications":[24],"for":[25,49,122],"erasure":[26],"decoding":[27,102,106],"are":[28],"discussed.":[29],"An":[30],"upper":[31],"bound":[32,48],"on":[33,107,112],"the":[34,47,88,95,101,131],"minimum":[35,89],"distance":[36,90],"EPC":[38,57],"codes":[39,70,85,93,120,125],"given,":[41],"as":[42,44,109,111],"well":[43,110],"constructions":[45],"meeting":[46],"some":[50],"relevant":[51],"cases.":[52],"special":[54],"case":[55],"Integrated":[60,67],"Interleaved":[61,68],"(EII)":[62],"which":[64],"naturally":[65],"unify":[66],"(II)":[69],"defined":[75],"studied":[77],"in":[78],"detail.":[79],"It":[80,114],"shown":[82,117],"that":[83,118],"EII":[84,119],"often":[86],"improve":[87],"II":[92,124],"same":[96],"rate,":[97],"they":[99],"enhance":[100],"algorithm":[103],"by":[104],"allowing":[105],"columns":[108],"rows.":[113],"also":[116],"allow":[121],"encoding":[123],"an":[127],"uniform":[128],"distribution":[129],"parity":[132],"symbols.":[133]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}
