{"id":"https://openalex.org/W2050803168","doi":"https://doi.org/10.1007/s12095-010-0028-9","title":"On the density of the set of known Hadamard orders","display_name":"On the density of the set of known Hadamard orders","publication_year":2010,"publication_date":"2010-05-17","ids":{"openalex":"https://openalex.org/W2050803168","doi":"https://doi.org/10.1007/s12095-010-0028-9","mag":"2050803168"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-010-0028-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-010-0028-9","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","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/A5055127288","display_name":"Warwick de Launey","orcid":null},"institutions":[{"id":"https://openalex.org/I4210157118","display_name":"CCI Reprographics (United States)","ror":"https://ror.org/04d7j1v83","country_code":"US","type":"company","lineage":["https://openalex.org/I4210157118"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Warwick de Launey","raw_affiliation_strings":["IDA Center for Communications Research, 4320 Westerra Court, San Diego, CA, 92121, USA","IDA Center for Communications Research, San Diego, USA 92121#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IDA Center for Communications Research, 4320 Westerra Court, San Diego, CA, 92121, USA","institution_ids":["https://openalex.org/I4210157118"]},{"raw_affiliation_string":"IDA Center for Communications Research, San Diego, USA 92121#TAB#","institution_ids":["https://openalex.org/I4210157118"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085783796","display_name":"Daniel M. Gordon","orcid":"https://orcid.org/0000-0003-4373-3637"},"institutions":[{"id":"https://openalex.org/I4210157118","display_name":"CCI Reprographics (United States)","ror":"https://ror.org/04d7j1v83","country_code":"US","type":"company","lineage":["https://openalex.org/I4210157118"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel M. Gordon","raw_affiliation_strings":["IDA Center for Communications Research, 4320 Westerra Court, San Diego, CA, 92121, USA","IDA Center for Communications Research, San Diego, USA 92121#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IDA Center for Communications Research, 4320 Westerra Court, San Diego, CA, 92121, USA","institution_ids":["https://openalex.org/I4210157118"]},{"raw_affiliation_string":"IDA Center for Communications Research, San Diego, USA 92121#TAB#","institution_ids":["https://openalex.org/I4210157118"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085783796"],"corresponding_institution_ids":["https://openalex.org/I4210157118"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.0157,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.79450616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2","issue":"2","first_page":"233","last_page":"246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"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/T12504","display_name":"Mathematics and Applications","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11166","display_name":"Analytic Number Theory Research","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/hadamard-transform","display_name":"Hadamard transform","score":0.8816125392913818},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.770011305809021},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6956892609596252},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6603484153747559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6373226642608643},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6226453185081482},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.61902916431427},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48952516913414},{"id":"https://openalex.org/keywords/hadamards-maximal-determinant-problem","display_name":"Hadamard's maximal determinant problem","score":0.46903833746910095},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.447932630777359},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4314594864845276},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.4301711916923523},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.4233977198600769},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1550341248512268},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08745545148849487},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07510679960250854}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.8816125392913818},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.770011305809021},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6956892609596252},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6603484153747559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6373226642608643},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6226453185081482},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.61902916431427},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48952516913414},{"id":"https://openalex.org/C121334634","wikidata":"https://www.wikidata.org/wiki/Q5637579","display_name":"Hadamard's maximal determinant problem","level":5,"score":0.46903833746910095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.447932630777359},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4314594864845276},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4301711916923523},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.4233977198600769},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1550341248512268},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08745545148849487},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07510679960250854},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12095-010-0028-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-010-0028-9","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W186403072","https://openalex.org/W1483567944","https://openalex.org/W1523337958","https://openalex.org/W1563654733","https://openalex.org/W1612880716","https://openalex.org/W1980033960","https://openalex.org/W1990148868","https://openalex.org/W2015796533","https://openalex.org/W2024144406","https://openalex.org/W2061326460","https://openalex.org/W2124522323","https://openalex.org/W2340541605","https://openalex.org/W2953637949"],"related_works":["https://openalex.org/W1976224891","https://openalex.org/W1971692815","https://openalex.org/W4226106482","https://openalex.org/W2796326658","https://openalex.org/W2003940980","https://openalex.org/W2131599704","https://openalex.org/W2054788067","https://openalex.org/W2740594951","https://openalex.org/W2010617738","https://openalex.org/W4313302755"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}