{"id":"https://openalex.org/W2570738108","doi":"https://doi.org/10.1109/tit.2016.2520479","title":"Subspace Polynomials and Cyclic Subspace Codes","display_name":"Subspace Polynomials and Cyclic Subspace Codes","publication_year":2016,"publication_date":"2016-01-21","ids":{"openalex":"https://openalex.org/W2570738108","doi":"https://doi.org/10.1109/tit.2016.2520479","mag":"2570738108"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2520479","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2520479","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":"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/A5058111762","display_name":"Eli Ben\u2010Sasson","orcid":"https://orcid.org/0000-0002-0708-0483"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eli Ben-Sasson","raw_affiliation_strings":["Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062149532","display_name":"Tuvi Etzion","orcid":"https://orcid.org/0000-0002-4315-4400"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Tuvi Etzion","raw_affiliation_strings":["Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043791007","display_name":"Ariel Gabizon","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ariel Gabizon","raw_affiliation_strings":["Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048888817","display_name":"Netanel Raviv","orcid":"https://orcid.org/0000-0002-1686-1994"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Netanel Raviv","raw_affiliation_strings":["Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3179,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.96017272,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"62","issue":"3","first_page":"1157","last_page":"1165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998000264167786,"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/T10849","display_name":"Finite Group Theory Research","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7396898865699768},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.553494930267334},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5426533222198486},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5074700713157654},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.43563351035118103},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4225553870201111},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4111937880516052},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40264832973480225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3338662385940552}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7396898865699768},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.553494930267334},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5426533222198486},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5074700713157654},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.43563351035118103},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4225553870201111},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4111937880516052},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40264832973480225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3338662385940552},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2016.2520479","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2520479","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:CiteSeerX.psu:10.1.1.752.4891","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.752.4891","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1404.7739.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2781193747","display_name":null,"funder_award_id":"10/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G3609167398","display_name":null,"funder_award_id":"257575","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G4790543863","display_name":null,"funder_award_id":"240258","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334960","display_name":"Seventh Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1584248758","https://openalex.org/W1599335667","https://openalex.org/W1811362484","https://openalex.org/W1965969834","https://openalex.org/W1970042430","https://openalex.org/W1992480150","https://openalex.org/W1996310087","https://openalex.org/W1996897280","https://openalex.org/W2008733023","https://openalex.org/W2011598702","https://openalex.org/W2051985271","https://openalex.org/W2055060019","https://openalex.org/W2095418648","https://openalex.org/W2102610456","https://openalex.org/W2139416652","https://openalex.org/W2168219305","https://openalex.org/W2329095262","https://openalex.org/W2490728539","https://openalex.org/W2613956024","https://openalex.org/W2952958801","https://openalex.org/W2964293242","https://openalex.org/W2991801403","https://openalex.org/W3103260357","https://openalex.org/W3106172892","https://openalex.org/W4232287032","https://openalex.org/W4233121052","https://openalex.org/W4236047074","https://openalex.org/W6628614173","https://openalex.org/W6729316007","https://openalex.org/W6771258387"],"related_works":["https://openalex.org/W4386066307","https://openalex.org/W4385502091","https://openalex.org/W2535963896","https://openalex.org/W2095450438","https://openalex.org/W3136820369","https://openalex.org/W2107754089","https://openalex.org/W4383466497","https://openalex.org/W2460434904","https://openalex.org/W1992135520","https://openalex.org/W2145201720"],"abstract_inverted_index":{"Subspace":[0],"codes":[1,23,29,43,49,68],"have":[2,56],"received":[3],"an":[4],"increasing":[5],"interest":[6],"recently":[7],"due":[8],"to":[9,65],"their":[10,52,89],"application":[11],"in":[12],"error":[13],"correction":[14],"for":[15,27,50],"random":[16],"network":[17],"coding.":[18],"In":[19,36],"particular,":[20],"cyclic":[21,42,86],"subspace":[22,67,75],"are":[24,85],"possible":[25],"candidates":[26],"large":[28],"with":[30],"efficient":[31],"encoding":[32],"and":[33,44,87],"decoding":[34],"algorithms.":[35],"this":[37],"paper,":[38],"we":[39],"consider":[40],"such":[41,82],"provide":[45],"constructions":[46,80],"of":[47,72,81],"optimal":[48],"which":[51,84],"codewords":[53],"do":[54],"not":[55],"full":[57],"orbits.":[58],"We":[59,77],"further":[60],"introduce":[61],"a":[62,70],"new":[63],"way":[64],"represent":[66],"by":[69],"class":[71],"polynomials":[73],"called":[74],"polynomials.":[76],"present":[78],"some":[79],"codes,":[83],"analyze":[88],"parameters.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}