{"id":"https://openalex.org/W2975090980","doi":"https://doi.org/10.1109/isit.2019.8849397","title":"Breaking HK17 in Practice","display_name":"Breaking HK17 in Practice","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2975090980","doi":"https://doi.org/10.1109/isit.2019.8849397","mag":"2975090980"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849397","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849397","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 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/A5100358581","display_name":"Haoyu Li","orcid":"https://orcid.org/0009-0004-9836-7747"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210095018","display_name":"National Center for Mathematics and Interdisciplinary Sciences","ror":"https://ror.org/00s97k668","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210095018"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haoyu Li","raw_affiliation_strings":["Key Laboratory of Mathematics Mechanization, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics Mechanization, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210095018","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031779296","display_name":"Renzhang Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Renzhang Liu","raw_affiliation_strings":["Westone Cryptologic Research Center, Westone Information Industry INC., Beijing, 100070, China"],"affiliations":[{"raw_affiliation_string":"Westone Cryptologic Research Center, Westone Information Industry INC., Beijing, 100070, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028226990","display_name":"Qutaibah Malluhi","orcid":"https://orcid.org/0000-0003-2849-0569"},"institutions":[{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Qutaibah M. Malluhi","raw_affiliation_strings":["Department of Computer Science, Qatar University, Qatar","[Department of Computer Science, Qatar University, Qatar]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Qatar University, Qatar","institution_ids":["https://openalex.org/I60342839"]},{"raw_affiliation_string":"[Department of Computer Science, Qatar University, Qatar]","institution_ids":["https://openalex.org/I60342839"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056715913","display_name":"Yanbin Pan","orcid":"https://orcid.org/0000-0002-5591-0234"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210095018","display_name":"National Center for Mathematics and Interdisciplinary Sciences","ror":"https://ror.org/00s97k668","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210095018"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanbin Pan","raw_affiliation_strings":["Key Laboratory of Mathematics Mechanization, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics Mechanization, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210095018","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083320238","display_name":"Yongge Wang","orcid":"https://orcid.org/0000-0002-1403-2922"},"institutions":[{"id":"https://openalex.org/I102149020","display_name":"University of North Carolina at Charlotte","ror":"https://ror.org/04dawnj30","country_code":"US","type":"education","lineage":["https://openalex.org/I102149020"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yongge Wang","raw_affiliation_strings":["Department of SIS, UNC, Charlotte, USA","[Department of SIS, UNC, Charlotte, USA]"],"affiliations":[{"raw_affiliation_string":"Department of SIS, UNC, Charlotte, USA","institution_ids":["https://openalex.org/I102149020"]},{"raw_affiliation_string":"[Department of SIS, UNC, Charlotte, USA]","institution_ids":["https://openalex.org/I102149020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109525706","display_name":"Tianyuan Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210095018","display_name":"National Center for Mathematics and Interdisciplinary Sciences","ror":"https://ror.org/00s97k668","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210095018"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyuan Xie","raw_affiliation_strings":["Key Laboratory of Mathematics Mechanization, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics Mechanization, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210095018","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100358581"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210095018","https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11244977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1877","last_page":"1881"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9980999827384949,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9954000115394592,"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/T11130","display_name":"Coding theory and cryptography","score":0.9869999885559082,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5391919612884521}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5391919612884521}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2019.8849397","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849397","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:qspace.qu.edu.qa:10576/14834","is_oa":false,"landing_page_url":"http://hdl.handle.net/10576/14834","pdf_url":null,"source":{"id":"https://openalex.org/S4306400014","display_name":"Qatar University QSpace (Qatar University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60342839","host_organization_name":"Qatar University","host_organization_lineage":["https://openalex.org/I60342839"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W178039687","https://openalex.org/W634784785","https://openalex.org/W1595771334","https://openalex.org/W2084652510","https://openalex.org/W2156186849","https://openalex.org/W2168676717","https://openalex.org/W2398538644","https://openalex.org/W2494078997","https://openalex.org/W2518938922","https://openalex.org/W3023478445","https://openalex.org/W3111297213","https://openalex.org/W6712624421","https://openalex.org/W6724049718"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W4402327032","https://openalex.org/W2382290278"],"abstract_inverted_index":{"In":[0,99],"November":[1],"2017,":[2],"Hecht":[3],"and":[4,19,53],"Kamlofsky":[5],"submitted":[6],"HK17,":[7],"a":[8,34,126],"quaternion(octonion)-based":[9],"Diffie-Hellman":[10],"key":[11,41,60,124],"exchange":[12],"protocol,":[13],"to":[14,37,106,120,145],"NIST":[15],"post-quantum":[16],"cryptography":[17],"project,":[18],"thought":[20],"that":[21,57,70,108,130],"at":[22,139],"least":[23,140],"O(p":[24],"<sup":[25],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[26],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">8</sup>":[27],")":[28],"arithmetic":[29,66,111],"operations":[30,144],"are":[31,118],"needed":[32],"for":[33,86,125],"passive":[35,127],"adversary":[36],"recover":[38,121],"the":[39,45,49,58,87,94,122,132,136,147,155],"shared":[40,59,123,148],"where":[42],"p":[43,74],"is":[44,75,96],"modulo":[46],"used":[47],"in":[48,84,135,154],"scheme.":[50],"Later,":[51],"Bernstein":[52],"Lange":[54],"pointed":[55],"out":[56],"can":[61],"be":[62],"recovered":[63],"with":[64,72,89],"O(p)":[65],"operations,":[67,112,117],"which":[68],"implies":[69],"HK17":[71,152],"small":[73],"not":[76,82],"secure.":[77],"However,":[78],"their":[79],"attack":[80,105],"does":[81],"work":[83],"practice":[85],"scheme":[88,95],"sufficiently":[90],"large":[91],"p,":[92],"although":[93],"still":[97],"efficient.":[98],"this":[100],"paper,":[101],"we":[102],"propose":[103],"an":[104],"show":[107],"just":[109],"constant":[110],"or":[113],"\u00d5(log":[114,141],"p)":[115,142],"bit":[116,143],"enough":[119],"adversary.":[128],"Note":[129],"even":[131],"legal":[133],"party":[134],"protocol":[137],"needs":[138],"establish":[146],"key.":[149],"We":[150],"break":[151],"completely":[153],"practical":[156],"sense.":[157]},"counts_by_year":[],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}