{"id":"https://openalex.org/W2786316637","doi":"https://doi.org/10.1109/itw.2017.8277999","title":"Explicit symmetric pseudo-random matrices","display_name":"Explicit symmetric pseudo-random matrices","publication_year":2017,"publication_date":"2017-11-01","ids":{"openalex":"https://openalex.org/W2786316637","doi":"https://doi.org/10.1109/itw.2017.8277999","mag":"2786316637"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2017.8277999","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2017.8277999","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Information Theory Workshop (ITW)","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/A5031252824","display_name":"Ilya Soloveychik","orcid":"https://orcid.org/0000-0001-9801-3165"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ilya Soloveychik","raw_affiliation_strings":["John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016213153","display_name":"X. D. Yu","orcid":"https://orcid.org/0000-0002-8584-7985"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Xiang","raw_affiliation_strings":["John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020766546","display_name":"Vahid Tarokh","orcid":"https://orcid.org/0000-0003-2994-6302"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vahid Tarokh","raw_affiliation_strings":["John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031252824"],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":null,"apc_paid":null,"fwci":0.2332,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62140818,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"424","last_page":"428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/golomb-coding","display_name":"Golomb coding","score":0.9047743082046509},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.6879224181175232},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.6698498725891113},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6481003761291504},{"id":"https://openalex.org/keywords/kolmogorov-complexity","display_name":"Kolmogorov complexity","score":0.6315439343452454},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5935045480728149},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47308140993118286},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.4661819636821747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45619967579841614},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41797080636024475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3274485766887665},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1250314712524414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09568479657173157},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08663791418075562}],"concepts":[{"id":"https://openalex.org/C66656319","wikidata":"https://www.wikidata.org/wiki/Q2638","display_name":"Golomb coding","level":5,"score":0.9047743082046509},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.6879224181175232},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6698498725891113},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6481003761291504},{"id":"https://openalex.org/C2779341405","wikidata":"https://www.wikidata.org/wiki/Q1456811","display_name":"Kolmogorov complexity","level":2,"score":0.6315439343452454},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5935045480728149},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47308140993118286},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.4661819636821747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45619967579841614},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41797080636024475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3274485766887665},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1250314712524414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09568479657173157},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08663791418075562},{"id":"https://openalex.org/C13481523","wikidata":"https://www.wikidata.org/wiki/Q412438","display_name":"Image compression","level":4,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2017.8277999","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2017.8277999","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W647564967","https://openalex.org/W1480210121","https://openalex.org/W1556911442","https://openalex.org/W1577206360","https://openalex.org/W1813708725","https://openalex.org/W1980864082","https://openalex.org/W1981663184","https://openalex.org/W1984482062","https://openalex.org/W2005097301","https://openalex.org/W2018547867","https://openalex.org/W2020324647","https://openalex.org/W2043905980","https://openalex.org/W2058219874","https://openalex.org/W2084876043","https://openalex.org/W2099111195","https://openalex.org/W2119762470","https://openalex.org/W2133486016","https://openalex.org/W2135625884","https://openalex.org/W2137061851","https://openalex.org/W2143110860","https://openalex.org/W2287972981","https://openalex.org/W2295180512","https://openalex.org/W2588981432","https://openalex.org/W2595468395","https://openalex.org/W2610053348","https://openalex.org/W3099799842","https://openalex.org/W4213350211","https://openalex.org/W4237065036","https://openalex.org/W4243997607","https://openalex.org/W6628761390"],"related_works":["https://openalex.org/W2794167311","https://openalex.org/W2779783431","https://openalex.org/W2168362498","https://openalex.org/W2117159910","https://openalex.org/W2139378013","https://openalex.org/W3100580622","https://openalex.org/W4297610417","https://openalex.org/W2786316637","https://openalex.org/W2951410362","https://openalex.org/W2595468395"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,13,57,67],"problem":[3],"of":[4,15,27,43,66,73],"generating":[5],"symmetric":[6],"pseudo-random":[7],"sign":[8,48],"(\u00b11)":[9],"matrices":[10,49,69],"based":[11],"on":[12],"similarity":[14],"their":[16,53],"spectra":[17,54],"to":[18,56,71],"Wigner's":[19],"semicircular":[20,58],"law.":[21],"Using":[22],"binary":[23],"m-sequences":[24],"(Golomb":[25],"sequences)":[26],"lengths":[28],"n":[29,45,47,61],"=":[30],"2":[31],"<sup":[32],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[33,82],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</sup>":[34],"-":[35],"1,":[36],"we":[37],"give":[38],"a":[39],"simple":[40],"explicit":[41],"construction":[42],"circulant":[44],"\u00d7":[46],"and":[50,76],"show":[51],"that":[52,72],"converge":[55],"law":[59],"when":[60],"grows.":[62],"The":[63],"Kolmogorov":[64],"complexity":[65],"proposed":[68],"equals":[70],"Golomb":[74],"sequences":[75],"is":[77],"at":[78],"most":[79],"2log":[80],"<sub":[81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[83],"(n)":[84],"bits.":[85]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}