{"id":"https://openalex.org/W2091570162","doi":"https://doi.org/10.1145/1872007.1872051","title":"Galois field hardware architectures for network coding","display_name":"Galois field hardware architectures for network coding","publication_year":2010,"publication_date":"2010-10-25","ids":{"openalex":"https://openalex.org/W2091570162","doi":"https://doi.org/10.1145/1872007.1872051","mag":"2091570162"},"language":"en","primary_location":{"id":"doi:10.1145/1872007.1872051","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1872007.1872051","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM/IEEE Symposium on Architectures for Networking and Communications Systems","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/A5058325506","display_name":"Aishwarya Nagarajan","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aishwarya Nagarajan","raw_affiliation_strings":["University of Wisconsin-Madison, Wisconsin","Dept. of Electrical & Computer Engineering, University of Wisconsin - Madison, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Wisconsin","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electrical & Computer Engineering, University of Wisconsin - Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103196891","display_name":"Michael Schulte","orcid":"https://orcid.org/0000-0003-1305-406X"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael J. Schulte","raw_affiliation_strings":["University of Wisconsin-Madison, Wisconsin","Dept. of Electrical & Computer Engineering, University of Wisconsin - Madison, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Wisconsin","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electrical & Computer Engineering, University of Wisconsin - Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101644702","display_name":"Parameswaran Ramanathan","orcid":"https://orcid.org/0000-0003-3457-139X"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Parameswaran Ramanathan","raw_affiliation_strings":["University of Wisconsin-Madison, Wisconsin","Dept. of Electrical & Computer Engineering, University of Wisconsin - Madison, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Wisconsin","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electrical & Computer Engineering, University of Wisconsin - Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":0.3731,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66329409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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/T11130","display_name":"Coding theory and cryptography","score":0.9980999827384949,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9857000112533569,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7562942504882812},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.7199333310127258},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.697711706161499},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5492489337921143},{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.5465623140335083},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5023717880249023},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.4937663972377777},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.46752357482910156},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.4479427635669708},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.4421250522136688},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.4066958427429199},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.39552468061447144},{"id":"https://openalex.org/keywords/computer-architecture","display_name":"Computer architecture","score":0.3520784378051758},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.32312873005867004},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.32204192876815796},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.15560829639434814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13118112087249756}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7562942504882812},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.7199333310127258},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.697711706161499},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5492489337921143},{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.5465623140335083},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5023717880249023},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.4937663972377777},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.46752357482910156},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.4479427635669708},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.4421250522136688},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.4066958427429199},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.39552468061447144},{"id":"https://openalex.org/C118524514","wikidata":"https://www.wikidata.org/wiki/Q173212","display_name":"Computer architecture","level":1,"score":0.3520784378051758},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.32312873005867004},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.32204192876815796},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.15560829639434814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13118112087249756},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1872007.1872051","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1872007.1872051","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM/IEEE Symposium on Architectures for Networking and Communications Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1557690009","https://openalex.org/W1569612250","https://openalex.org/W1587576127","https://openalex.org/W1739879311","https://openalex.org/W2016312880","https://openalex.org/W2042559745","https://openalex.org/W2048235391","https://openalex.org/W2051495459","https://openalex.org/W2095893795","https://openalex.org/W2099597159","https://openalex.org/W2105831729","https://openalex.org/W2107520978","https://openalex.org/W2111005923","https://openalex.org/W2113097540","https://openalex.org/W2119423872","https://openalex.org/W2122152825","https://openalex.org/W2144415942","https://openalex.org/W2148575324","https://openalex.org/W2149863032","https://openalex.org/W2151551625","https://openalex.org/W2155901800","https://openalex.org/W2169280125","https://openalex.org/W2314485382","https://openalex.org/W2542098623","https://openalex.org/W4254068909"],"related_works":["https://openalex.org/W1825396486","https://openalex.org/W843373033","https://openalex.org/W2587136861","https://openalex.org/W2142116768","https://openalex.org/W1528972180","https://openalex.org/W1574908871","https://openalex.org/W2039812289","https://openalex.org/W1537813558","https://openalex.org/W172172592","https://openalex.org/W3128023985"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"and":[3,24,41,54,60,71,75,93,114,123],"analyzes":[4],"novel":[5],"hardware":[6],"designs":[7,13,35,73,105,137],"for":[8,79],"high-speed":[9],"network":[10,32],"coding.":[11,33],"Our":[12,104,136],"provide":[14],"efficient":[15],"methods":[16],"to":[17,45,62,140],"perform":[18,37],"Galois":[19,51],"field":[20,52],"(GF)":[21],"dot":[22,39,102],"products":[23,40],"matrix":[25,96],"inversions,":[26],"which":[27],"are":[28,58,106],"important":[29],"operations":[30],"in":[31,116],"Encoder":[34],"that":[36],"GF":[38,95,101],"vary":[42],"with":[43,74,108],"respect":[44],"the":[46,146],"number":[47],"of":[48,83,118,131,148],"messages":[49,128],"combined,":[50],"size,":[53],"input":[55],"message":[56],"size":[57],"implemented":[59,88],"analyzed":[61],"evaluate":[63],"design":[64,92],"tradeoffs.":[65],"We":[66],"investigate":[67],"single":[68],"cycle,":[69],"multicycle,":[70],"pipelined":[72],"without":[76],"feedback":[77],"mechanisms":[78],"encoding":[80],"multiple":[81,100],"sets":[82],"messages.":[84],"The":[85],"decoder":[86],"is":[87],"as":[89],"a":[90,109],"multi-cycle":[91],"performs":[94],"inversion":[97],"followed":[98],"by":[99],"products.":[103],"synthesized":[107],"65nm":[110],"standard":[111],"cell":[112],"library":[113],"compared":[115],"terms":[117],"area,":[119],"critical":[120],"path":[121],"delay,":[122],"throughput.":[124],"Designs":[125],"combining":[126],"four":[127],"achieve":[129,141],"throughputs":[130],"more":[132],"than":[133],"30":[134],"Gbps.":[135],"can":[138],"scale":[139],"much":[142],"higher":[143],"throughput":[144],"through":[145],"use":[147],"additional":[149],"hardware.":[150]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
