{"id":"https://openalex.org/W3183237688","doi":"https://doi.org/10.1109/isit45174.2021.9517752","title":"Bent Sequences over Hadamard Codes for Physically Unclonable Functions","display_name":"Bent Sequences over Hadamard Codes for Physically Unclonable Functions","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3183237688","doi":"https://doi.org/10.1109/isit45174.2021.9517752","mag":"3183237688"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517752","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517752","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/A5024873890","display_name":"Patrick Sol\u00e9","orcid":"https://orcid.org/0000-0002-4078-8301"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210116669","display_name":"Ch\u00e2teau Gombert","ror":"https://ror.org/02kspbq18","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210116669"]},{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Patrick Sol\u00e9","raw_affiliation_strings":["I2M (Aix-Marseille Univ., Centrale Marseille, CNRS),Marseille,France","I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"I2M (Aix-Marseille Univ., Centrale Marseille, CNRS),Marseille,France","institution_ids":["https://openalex.org/I4210142724","https://openalex.org/I4210160189","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13 - France)","institution_ids":["https://openalex.org/I4210116669","https://openalex.org/I4210160189","https://openalex.org/I4210138206"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004072464","display_name":"Wei Cheng","orcid":"https://orcid.org/0000-0001-9433-7576"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Wei Cheng","raw_affiliation_strings":["Institut Polytechnique de Paris,LTCI, Télécom Paris,Palaiseau,France","COMNUM - Communications Num\u00e9riques (T\u00e9l\u00e9com Paris 19 Place Marguerite Perey 91120 PALAISEAU. Devient MIC (Math\u00e9matiques de l'Information et des Communications) le 04 juillet 2024 - France)","IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","COMELEC - D\u00e9partement Communications & Electronique (19 Place Marguerite Perey 91120 PALAISEAU - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Polytechnique de Paris,LTCI, Télécom Paris,Palaiseau,France","institution_ids":["https://openalex.org/I4210165912"]},{"raw_affiliation_string":"COMNUM - Communications Num\u00e9riques (T\u00e9l\u00e9com Paris 19 Place Marguerite Perey 91120 PALAISEAU. Devient MIC (Math\u00e9matiques de l'Information et des Communications) le 04 juillet 2024 - France)","institution_ids":["https://openalex.org/I12356871"]},{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]},{"raw_affiliation_string":"COMELEC - D\u00e9partement Communications & Electronique (19 Place Marguerite Perey 91120 PALAISEAU - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008439372","display_name":"Sylvain Guilley","orcid":"https://orcid.org/0000-0002-5044-3534"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210167190","display_name":"SBA Research","ror":"https://ror.org/05nny6x17","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210167190"]}],"countries":["AT","FR"],"is_corresponding":false,"raw_author_name":"Sylvain Guilley","raw_affiliation_strings":["Secure-IC S.A.S., Tour Montparnasse,Paris,France,75015","IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","SSH - Secure and Safe Hardware (T\u00e9l\u00e9com Paris 19 Place Marguerite Perey 91120 Palaiseau - France)","COMELEC - D\u00e9partement Communications & Electronique (19 Place Marguerite Perey 91120 PALAISEAU - France)","Secure-IC S.A.S (80 avenue des Buttes de Co\u00ebsmes, 35700 Rennes - (Tel. +33 2 99 12 18 72) - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Secure-IC S.A.S., Tour Montparnasse,Paris,France,75015","institution_ids":["https://openalex.org/I4210167190"]},{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]},{"raw_affiliation_string":"SSH - Secure and Safe Hardware (T\u00e9l\u00e9com Paris 19 Place Marguerite Perey 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I12356871"]},{"raw_affiliation_string":"COMELEC - D\u00e9partement Communications & Electronique (19 Place Marguerite Perey 91120 PALAISEAU - France)","institution_ids":[]},{"raw_affiliation_string":"Secure-IC S.A.S (80 avenue des Buttes de Co\u00ebsmes, 35700 Rennes - (Tel. +33 2 99 12 18 72) - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079964478","display_name":"Olivier Rioul","orcid":"https://orcid.org/0000-0002-8681-8916"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Rioul","raw_affiliation_strings":["Institut Polytechnique de Paris,LTCI, Télécom Paris,Palaiseau,France","COMNUM - Communications Num\u00e9riques (T\u00e9l\u00e9com Paris 19 Place Marguerite Perey 91120 PALAISEAU. Devient MIC (Math\u00e9matiques de l'Information et des Communications) le 04 juillet 2024 - France)","COMELEC - D\u00e9partement Communications & Electronique (19 Place Marguerite Perey 91120 PALAISEAU - France)","IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Polytechnique de Paris,LTCI, Télécom Paris,Palaiseau,France","institution_ids":["https://openalex.org/I4210165912"]},{"raw_affiliation_string":"COMNUM - Communications Num\u00e9riques (T\u00e9l\u00e9com Paris 19 Place Marguerite Perey 91120 PALAISEAU. Devient MIC (Math\u00e9matiques de l'Information et des Communications) le 04 juillet 2024 - France)","institution_ids":["https://openalex.org/I12356871"]},{"raw_affiliation_string":"COMELEC - D\u00e9partement Communications & Electronique (19 Place Marguerite Perey 91120 PALAISEAU - France)","institution_ids":[]},{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024873890"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210116669","https://openalex.org/I4210138206","https://openalex.org/I4210142724","https://openalex.org/I4210160189"],"apc_list":null,"apc_paid":null,"fwci":0.943,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72696612,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"801","last_page":"806"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12122","display_name":"Physical Unclonable Functions (PUFs) and Hardware Security","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12122","display_name":"Physical Unclonable Functions (PUFs) and Hardware Security","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.960099995136261,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9106000065803528,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.9042741060256958},{"id":"https://openalex.org/keywords/hadamards-inequality","display_name":"Hadamard's inequality","score":0.5822746157646179},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.574091911315918},{"id":"https://openalex.org/keywords/hadamard-three-lines-theorem","display_name":"Hadamard three-lines theorem","score":0.5286168456077576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4834638237953186},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4570351839065552},{"id":"https://openalex.org/keywords/hadamards-maximal-determinant-problem","display_name":"Hadamard's maximal determinant problem","score":0.4471283257007599},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4261096119880676},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3887304365634918},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33865249156951904},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3275521397590637},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15770506858825684},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12250936031341553},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05718305706977844}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.9042741060256958},{"id":"https://openalex.org/C31021346","wikidata":"https://www.wikidata.org/wiki/Q1365087","display_name":"Hadamard's inequality","level":4,"score":0.5822746157646179},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.574091911315918},{"id":"https://openalex.org/C68720959","wikidata":"https://www.wikidata.org/wiki/Q3527250","display_name":"Hadamard three-lines theorem","level":4,"score":0.5286168456077576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4834638237953186},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4570351839065552},{"id":"https://openalex.org/C121334634","wikidata":"https://www.wikidata.org/wiki/Q5637579","display_name":"Hadamard's maximal determinant problem","level":5,"score":0.4471283257007599},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4261096119880676},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3887304365634918},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33865249156951904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3275521397590637},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15770506858825684},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12250936031341553},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05718305706977844},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit45174.2021.9517752","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517752","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"},{"id":"pmh:oai:HAL:hal-03240109v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03240109","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT 2021), Jul 2021, Melbourne, Australia. pp.801-806, ⟨10.1109/ISIT45174.2021.9517752⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W401986301","https://openalex.org/W586135738","https://openalex.org/W1606480398","https://openalex.org/W1802264368","https://openalex.org/W2000171858","https://openalex.org/W2004502213","https://openalex.org/W2069456883","https://openalex.org/W2113322447","https://openalex.org/W2116374153","https://openalex.org/W2126655674","https://openalex.org/W2129632939","https://openalex.org/W2140823559","https://openalex.org/W2510962904","https://openalex.org/W2747869138","https://openalex.org/W2964347103","https://openalex.org/W2994565959","https://openalex.org/W3000088202","https://openalex.org/W3025087331","https://openalex.org/W3091790968","https://openalex.org/W4229826396","https://openalex.org/W4233121052","https://openalex.org/W4236140721"],"related_works":["https://openalex.org/W1976224891","https://openalex.org/W1971692815","https://openalex.org/W3154819821","https://openalex.org/W2294836888","https://openalex.org/W4226106482","https://openalex.org/W2054788067","https://openalex.org/W2950772023","https://openalex.org/W2003940980","https://openalex.org/W1995950135","https://openalex.org/W2549862220"],"abstract_inverted_index":{"We":[0],"study":[1,59],"challenge":[2,14],"codes":[3],"for":[4,32,90],"physically":[5],"unclonable":[6],"functions":[7],"(PUFs).":[8],"Starting":[9],"from":[10,44,76],"the":[11,26,34,41,45,49,60,73],"classical":[12,74],"Hadamard":[13,64,77,84,92],"code,":[15],"we":[16],"augment":[17],"it":[18],"by":[19,48],"one":[20],"vector.":[21],"Numerical":[22],"values":[23],"suggest":[24],"that":[25,71],"optimal":[27],"choice":[28],"of":[29,63,68,79],"this":[30],"vector":[31,40],"maximizing":[33],"entropy":[35],"is":[36,86],"to":[37,58,82],"pick":[38],"a":[39],"farthest":[42],"away":[43],"code":[46],"formed":[47],"challenges":[50],"and":[51],"their":[52],"binary":[53],"complements.":[54],"This":[55],"leads":[56],"us":[57],"covering":[61],"radius":[62],"codes.":[65],"A":[66],"notion":[67,75],"bent":[69],"sequence":[70],"generalizes":[72],"matrices":[78,85,93],"Sylvester":[80],"type":[81],"general":[83],"given.":[87,95],"Lower":[88],"bounds":[89],"Paley-type":[91],"are":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2025-10-10T00:00:00"}