{"id":"https://openalex.org/W2942822578","doi":"https://doi.org/10.1109/itw.2018.8613312","title":"Circular-shift Linear Network Codes with Arbitrary Odd Block Lengths","display_name":"Circular-shift Linear Network Codes with Arbitrary Odd Block Lengths","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2942822578","doi":"https://doi.org/10.1109/itw.2018.8613312","mag":"2942822578"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2018.8613312","pdf_url":null,"source":null,"license":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1806.04635","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056975770","display_name":"Qifu Tyler Sun","orcid":"https://orcid.org/0000-0003-3213-1569"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qifu Tyler Sun","raw_affiliation_string":"Department of Communication Engineering, University of Science and Technology Beijing, P. R. China","raw_affiliation_strings":["Department of Communication Engineering, University of Science and Technology Beijing, P. R. China"]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088101954","display_name":"Hanqi Tang","orcid":"https://orcid.org/0000-0001-7248-5500"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hanqi Tang","raw_affiliation_string":"Department of Communication Engineering, University of Science and Technology Beijing, P. R. China","raw_affiliation_strings":["Department of Communication Engineering, University of Science and Technology Beijing, P. R. China"]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066247159","display_name":"Zongpeng Li","orcid":"https://orcid.org/0000-0002-6845-6878"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongpeng Li","raw_affiliation_string":"School of Computer, Wuhan University, P.R. China#TAB#","raw_affiliation_strings":["School of Computer, Wuhan University, P.R. China#TAB#"]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085162813","display_name":"Xiaolong YangT","orcid":null},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaolong YangT","raw_affiliation_string":"Department of Communication Engineering, University of Science and Technology Beijing, P. R. China","raw_affiliation_strings":["Department of Communication Engineering, University of Science and Technology Beijing, P. R. China"]},{"author_position":"last","author":{"id":"https://openalex.org/A5065525394","display_name":"Keping LongT","orcid":null},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Keping LongT","raw_affiliation_string":"Department of Communication Engineering, University of Science and Technology Beijing, P. R. China","raw_affiliation_strings":["Department of Communication Engineering, University of Science and Technology Beijing, P. R. China"]}],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"has_fulltext":false,"cited_by_count":2,"cited_by_percentile_year":{"min":75,"max":78},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Diversity in Wireless Networks","score":1.0,"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 Diversity in Wireless Networks","score":1.0,"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/T11458","display_name":"Intelligent Reflecting Surfaces in Wireless Communications","score":0.9694,"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/T11130","display_name":"Cryptography and Error-Correcting Codes","score":0.9428,"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"}}],"keywords":[{"keyword":"linear","score":0.31},{"keyword":"network","score":0.3011},{"keyword":"block","score":0.264},{"keyword":"circular-shift","score":0.25}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.531596},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.48012328},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47610152},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.47566336},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.47401127},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.45652902},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.43665794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39387375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27771628},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17080277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09461489},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2018.8613312","pdf_url":null,"source":null,"license":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1806.04635","pdf_url":"https://arxiv.org/pdf/1806.04635","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1806.04635","pdf_url":"https://arxiv.org/pdf/1806.04635","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"referenced_works_count":12,"referenced_works":["https://openalex.org/W1483151078","https://openalex.org/W1973300623","https://openalex.org/W2026371518","https://openalex.org/W2106403318","https://openalex.org/W2117872622","https://openalex.org/W2138928022","https://openalex.org/W2139645268","https://openalex.org/W2153049854","https://openalex.org/W2338815034","https://openalex.org/W2802311602","https://openalex.org/W2942822578","https://openalex.org/W4212992501"],"related_works":["https://openalex.org/W4213011916","https://openalex.org/W2070252991","https://openalex.org/W2117548279","https://openalex.org/W2391321755","https://openalex.org/W2807449856","https://openalex.org/W238211858","https://openalex.org/W2025727968","https://openalex.org/W2941201715","https://openalex.org/W2896134808","https://openalex.org/W3103861421"],"ngrams_url":"https://api.openalex.org/works/W2942822578/ngrams","abstract_inverted_index":{"Circular-shift":[0],"linear":[1,42,54,72,99,121],"network":[2,116,153],"coding":[3],"(LNC)":[4],"is":[5,28,128,140,154],"a":[6,29,40,102,142],"class":[7],"of":[8,90,133],"vector":[9],"LNC":[10],"with":[11,17,31],"low":[12],"encoding":[13,19],"and":[14,135],"decoding":[15],"complexities,":[16],"local":[18],"kernels":[20],"chosen":[21],"from":[22,145],"cyclic":[23],"permutation":[24],"matrices.":[25],"When":[26],"L":[27,134],"prime":[30],"primitive":[32],"root":[33],"2,":[34],"it":[35],"was":[36],"recently":[37],"shown":[38],"that":[39,64,113,150],"scalar":[41,71],"solution":[43,55,73,100,122],"over":[44,74],"GF(2":[45],"L-1":[48],")":[49],"induces":[50],"an":[51,66,96,118],"Ldimensional":[52],"circular-shift":[53,120,156],"at":[56,101,123],"rate":[57,124],"(L-1)/L.":[58],"In":[59],"this":[60],"work,":[61],"we":[62,110,147],"prove":[63,112,149],"for":[65],"arbitrary":[67],"odd":[68],"L,":[69,93],"every":[70,114,151],"GF(2(m)":[75],"L":[78,84,139],"),":[79],"where":[80,126],"m":[81],"refers":[85],"to":[86],"the":[87,107,129],"multiplicative":[88],"order":[89],"2":[91],"modulo":[92],"can":[94],"induce":[95],"L-dimensional":[97,119],"circularshift":[98],"certain":[103],"rate.":[104],"Based":[105],"on":[106],"generalized":[108],"connection,":[109],"further":[111],"multicast":[115,152],"has":[117],"\u03c6(L)/L,":[125],"\u03c6(L)":[127],"Euler's":[130],"totient":[131],"function":[132],"(m)":[136],"beyond":[141],"threshold.":[143],"Stemming":[144],"this,":[146],"last":[148],"asymptotically":[155],"linearly":[157],"solvable.":[158]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2942822578","counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2024-02-23T03:35:38.708887","created_date":"2019-05-09"}