{"id":"https://openalex.org/W3198458520","doi":"https://doi.org/10.1109/isit45174.2021.9517898","title":"Permute &amp; Add Network Codes via Group Algebras","display_name":"Permute &amp; Add Network Codes via Group Algebras","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3198458520","doi":"https://doi.org/10.1109/isit45174.2021.9517898","mag":"3198458520"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517898","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517898","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","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/A5053548670","display_name":"Lakshmi Prasad Natarajan","orcid":"https://orcid.org/0000-0003-1552-5240"},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Lakshmi Prasad Natarajan","raw_affiliation_strings":["Indian Institute of Technology,Department of Electrical Engineering,Hyderabad,India,502285"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology,Department of Electrical Engineering,Hyderabad,India,502285","institution_ids":["https://openalex.org/I65181880"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000305417","display_name":"Smiju Kodamthuruthil Joy","orcid":"https://orcid.org/0000-0002-8661-4710"},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Smiju Kodamthuruthil Joy","raw_affiliation_strings":["Indian Institute of Technology,Department of Electrical Engineering,Hyderabad,India,502285"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology,Department of Electrical Engineering,Hyderabad,India,502285","institution_ids":["https://openalex.org/I65181880"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053548670"],"corresponding_institution_ids":["https://openalex.org/I65181880"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15385022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"563","last_page":"568"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9915000200271606,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9902999997138977,"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/linear-network-coding","display_name":"Linear network coding","score":0.7753176689147949},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.6284967064857483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5892683863639832},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.585000216960907},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5444603562355042},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4328269362449646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36754027009010315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3252823054790497},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29012179374694824},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.19767260551452637},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1925097107887268}],"concepts":[{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.7753176689147949},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.6284967064857483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5892683863639832},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.585000216960907},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5444603562355042},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4328269362449646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36754027009010315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3252823054790497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29012179374694824},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19767260551452637},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1925097107887268},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit45174.2021.9517898","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517898","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8025515071","display_name":null,"funder_award_id":"MTR/2019/001454,DSTIINSPIRE/04/2015/002094","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1581232847","https://openalex.org/W1596185498","https://openalex.org/W1973300623","https://openalex.org/W1975875771","https://openalex.org/W2026371518","https://openalex.org/W2039466900","https://openalex.org/W2084876043","https://openalex.org/W2105831729","https://openalex.org/W2106403318","https://openalex.org/W2111571101","https://openalex.org/W2114578240","https://openalex.org/W2117872622","https://openalex.org/W2123562143","https://openalex.org/W2138928022","https://openalex.org/W2204722887","https://openalex.org/W2338815034","https://openalex.org/W2475505336","https://openalex.org/W2477854368","https://openalex.org/W2542760130","https://openalex.org/W2732892807","https://openalex.org/W2807857709","https://openalex.org/W2922107475","https://openalex.org/W3081458103","https://openalex.org/W3098342432","https://openalex.org/W3105184395","https://openalex.org/W3106493979","https://openalex.org/W3128829293","https://openalex.org/W4210992409","https://openalex.org/W4237980058","https://openalex.org/W6790098708"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W2151857680","https://openalex.org/W4386066307","https://openalex.org/W832867880","https://openalex.org/W2147254059","https://openalex.org/W917159298","https://openalex.org/W1975697476"],"abstract_inverted_index":{"A":[0],"class":[1],"of":[2,30,33,79,91,104,141,145,164,175],"network":[3,16,27,51,60,106,128,181],"codes":[4,81,107,129,182],"have":[5],"been":[6],"proposed":[7,150],"in":[8,26,151,184],"the":[9,12,22,31,43,47,89,139,162,165,176,185],"literature":[10],"where":[11],"symbols":[13],"transmitted":[14],"on":[15,37,94,122,179],"edges":[17],"are":[18,66,111],"binary":[19],"vectors":[20],"and":[21,41,65,154,161,173],"coding":[23,159],"operation":[24],"performed":[25],"nodes":[28],"consists":[29],"application":[32],"(possibly":[34],"several)":[35],"permutations":[36,92,146],"each":[38,95],"incoming":[39,96],"vector":[40,97],"XOR-ing":[42],"results":[44,178],"to":[45,57,68,98,125],"obtain":[46],"outgoing":[48,101],"vector.":[49,102],"These":[50],"codes,":[52,61],"which":[53,87],"we":[54,116],"will":[55],"refer":[56],"as":[58],"permute-and-add":[59,105,127,180],"involve":[62],"simpler":[63],"operations":[64],"known":[67,183],"provide":[69,117],"lower":[70],"complexity":[71,78],"solutions":[72],"than":[73],"scalar":[74],"linear":[75],"codes.":[76],"The":[77],"these":[80],"is":[82,88],"determined":[83],"by":[84],"their":[85],"degree":[86,163],"number":[90],"applied":[93],"compute":[99],"an":[100],"Constructions":[103],"for":[108,130],"multicast":[109],"networks":[110],"known.":[112],"In":[113],"this":[114],"paper,":[115],"a":[118,156],"new":[119],"framework":[120,137],"based":[121],"group":[123,144],"algebras":[124],"design":[126],"arbitrary":[131],"(not":[132],"necessarily":[133],"multicast)":[134],"networks.":[135],"Our":[136],"allows":[138],"use":[140],"any":[142],"finite":[143],"(including":[147],"circular":[148],"shifts,":[149],"prior":[152],"work)":[153],"admits":[155],"trade-off":[157],"between":[158],"rate":[160],"code.":[166],"Further,":[167],"our":[168],"technique":[169],"permits":[170],"elegant":[171],"recovery":[172],"generalizations":[174],"key":[177],"literature.":[186]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
