{"id":"https://openalex.org/W4285129572","doi":"https://doi.org/10.1109/lcomm.2022.3181722","title":"A Homomorphism Transform Based Analysis of Sparse Random Linear Network Coding Over Erasure Channels","display_name":"A Homomorphism Transform Based Analysis of Sparse Random Linear Network Coding Over Erasure Channels","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W4285129572","doi":"https://doi.org/10.1109/lcomm.2022.3181722"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2022.3181722","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2022.3181722","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-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/A5071628455","display_name":"Wenlin Chen","orcid":"https://orcid.org/0000-0001-5766-4551"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenlin Chen","raw_affiliation_strings":["School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-5766-4551","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036390055","display_name":"Fang Lu","orcid":"https://orcid.org/0000-0002-9491-4895"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang Lu","raw_affiliation_strings":["School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-9491-4895","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056041589","display_name":"Yan Dong","orcid":"https://orcid.org/0000-0002-9512-6903"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Dong","raw_affiliation_strings":["School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-9512-6903","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08277004,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"26","issue":"9","first_page":"2009","last_page":"2013"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","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 Communication and Network Coding","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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9751999974250793,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9735000133514404,"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/homomorphism","display_name":"Homomorphism","score":0.6486793756484985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5167328715324402},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.471633642911911},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3955431878566742},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3793768286705017},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34656763076782227},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.20777851343154907}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.6486793756484985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5167328715324402},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.471633642911911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3955431878566742},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3793768286705017},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34656763076782227},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.20777851343154907},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2022.3181722","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2022.3181722","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7079021369","display_name":null,"funder_award_id":"91538203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W2073185868","https://openalex.org/W2139416652","https://openalex.org/W2476643426","https://openalex.org/W2767138200","https://openalex.org/W2913747919","https://openalex.org/W2999007560","https://openalex.org/W3105368479","https://openalex.org/W3106845852","https://openalex.org/W4233121052","https://openalex.org/W4300937596"],"related_works":["https://openalex.org/W2521976240","https://openalex.org/W4238682577","https://openalex.org/W3171193518","https://openalex.org/W4252525741","https://openalex.org/W2783935120","https://openalex.org/W1977068302","https://openalex.org/W2042515166","https://openalex.org/W4245130125","https://openalex.org/W869024478","https://openalex.org/W1976011209"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"we":[3],"provide":[4],"a":[5,45,63,112],"method":[6,33],"for":[7,13,67],"deriving":[8],"the":[9,14,31,37,40,50,53,57,68,72,85,88,92,98,101,105,108],"first":[10],"exact":[11,65],"expression":[12,66],"decoding":[15],"success":[16],"probability":[17,43],"of":[18,30,39,44,52,56,71,87,100,107,111],"sparse":[19,46,58,73,102],"random":[20,47],"linear":[21],"network":[22],"coding":[23],"over":[24],"erasure":[25],"channels.":[26],"The":[27,75],"key":[28],"idea":[29],"proposed":[32],"is":[34,77,94],"to":[35,61],"transform":[36,55,70],"characterization":[38,51],"full":[41],"rank":[42],"matrix":[48],"into":[49],"homomorphism":[54,69,89],"distribution":[59,103],"and":[60,84,91,104],"obtain":[62],"closed-form":[64],"distribution.":[74],"former":[76],"solved":[78,95],"by":[79,96],"employing":[80,97],"M\u00f6bius":[81],"inversion":[82],"theorem":[83],"property":[86,106],"transform,":[90],"latter":[93],"feature":[99],"nontrivial":[109],"character":[110],"finite":[113],"field.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
