{"id":"https://openalex.org/W2726915445","doi":"https://doi.org/10.1109/icis.2017.7960080","title":"Finding vulnerable curves over finite fields of characteristic 2 by pairing reduction","display_name":"Finding vulnerable curves over finite fields of characteristic 2 by pairing reduction","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2726915445","doi":"https://doi.org/10.1109/icis.2017.7960080","mag":"2726915445"},"language":"en","primary_location":{"id":"doi:10.1109/icis.2017.7960080","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icis.2017.7960080","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE/ACIS 16th International Conference on Computer and Information Science (ICIS)","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/A5104047787","display_name":"Yuhong Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuhong Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Peking University, Beijing, Beijing, CN"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100671192","display_name":"Meng Zhang","orcid":"https://orcid.org/0000-0002-8217-042X"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Peking University, Beijing, Beijing, CN"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100956729","display_name":"Maozhi Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maozhi Xu","raw_affiliation_strings":["School of Mathematical Sciences, Peking University, Beijing, Beijing, CN"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5104047787"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10221454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":null,"first_page":"683","last_page":"687"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9933000206947327,"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/T10237","display_name":"Cryptography and Data Security","score":0.992900013923645,"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/finite-field","display_name":"Finite field","score":0.7916666865348816},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.7149064540863037},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6680635809898376},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.6364839673042297},{"id":"https://openalex.org/keywords/hyperelliptic-curve","display_name":"Hyperelliptic curve","score":0.5875340700149536},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5766658186912537},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.5252929329872131},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5120533108711243},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5106964707374573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5077829957008362},{"id":"https://openalex.org/keywords/counting-points-on-elliptic-curves","display_name":"Counting points on elliptic curves","score":0.5008683204650879},{"id":"https://openalex.org/keywords/hyperelliptic-curve-cryptography","display_name":"Hyperelliptic curve cryptography","score":0.466464638710022},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4502807855606079},{"id":"https://openalex.org/keywords/tripling-oriented-doche\u2013icart\u2013kohel-curve","display_name":"Tripling-oriented Doche\u2013Icart\u2013Kohel curve","score":0.4382244646549225},{"id":"https://openalex.org/keywords/jacobian-curve","display_name":"Jacobian curve","score":0.4371459484100342},{"id":"https://openalex.org/keywords/edwards-curve","display_name":"Edwards curve","score":0.4231814444065094},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.41393354535102844},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37756240367889404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3554287552833557},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33232375979423523},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3208225667476654},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1869131326675415},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12893331050872803},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11722242832183838}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7916666865348816},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.7149064540863037},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6680635809898376},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.6364839673042297},{"id":"https://openalex.org/C11074058","wikidata":"https://www.wikidata.org/wiki/Q850110","display_name":"Hyperelliptic curve","level":3,"score":0.5875340700149536},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5766658186912537},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.5252929329872131},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5120533108711243},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5106964707374573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5077829957008362},{"id":"https://openalex.org/C68782407","wikidata":"https://www.wikidata.org/wiki/Q5177153","display_name":"Counting points on elliptic curves","level":5,"score":0.5008683204650879},{"id":"https://openalex.org/C166780011","wikidata":"https://www.wikidata.org/wiki/Q3005926","display_name":"Hyperelliptic curve cryptography","level":5,"score":0.466464638710022},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4502807855606079},{"id":"https://openalex.org/C37055786","wikidata":"https://www.wikidata.org/wiki/Q7843607","display_name":"Tripling-oriented Doche\u2013Icart\u2013Kohel curve","level":5,"score":0.4382244646549225},{"id":"https://openalex.org/C79993320","wikidata":"https://www.wikidata.org/wiki/Q6119657","display_name":"Jacobian curve","level":5,"score":0.4371459484100342},{"id":"https://openalex.org/C92727272","wikidata":"https://www.wikidata.org/wiki/Q3001190","display_name":"Edwards curve","level":5,"score":0.4231814444065094},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.41393354535102844},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37756240367889404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3554287552833557},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33232375979423523},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3208225667476654},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1869131326675415},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12893331050872803},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11722242832183838},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icis.2017.7960080","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icis.2017.7960080","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE/ACIS 16th International Conference on Computer and Information Science (ICIS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W88444553","https://openalex.org/W1409727619","https://openalex.org/W1491262044","https://openalex.org/W1545876477","https://openalex.org/W1550761406","https://openalex.org/W1758781646","https://openalex.org/W1921672120","https://openalex.org/W1998368731","https://openalex.org/W2034710402","https://openalex.org/W2086042811","https://openalex.org/W2094556471","https://openalex.org/W2111310412","https://openalex.org/W2912690715","https://openalex.org/W6632193228","https://openalex.org/W6640233077","https://openalex.org/W6674194549"],"related_works":["https://openalex.org/W2188057592","https://openalex.org/W28923676","https://openalex.org/W2006528304","https://openalex.org/W3153552368","https://openalex.org/W2548082687","https://openalex.org/W2071707911","https://openalex.org/W2131587162","https://openalex.org/W4283814357","https://openalex.org/W2563539030","https://openalex.org/W2084836129"],"abstract_inverted_index":{"In":[0],"this":[1,94],"paper,":[2,95],"we":[3,64,96,157],"aim":[4,97],"at":[5,98],"sustaining":[6,99],"the":[7,30,47,67,75,100,123,140,160,168],"claim":[8,101],"that":[9,102],"curve-based":[10,103],"cryptographic":[11,104],"schemes":[12,105],"over":[13,106],"finite":[14,42,107,135],"fields":[15,108],"of":[16,49,79,109,142,172],"characteristic":[17,110],"2":[18,111],"do":[19,112],"not":[20,113],"provide":[21,114],"enough":[22,115],"security.":[23,116],"We":[24,44,117,137],"present":[25,118],"algorithms":[26,119],"to":[27,89,120,182],"find":[28,121],"all":[29,122],"possible":[31,124],"supersingular":[32,57,125,150],"elliptic":[33,72,126,165],"curves":[34,51,127,144],"which":[35,128],"can":[36,84,129,177],"be":[37,85,130,178],"embedded":[38,131],"into":[39,132],"a":[40,70,80,90,133,163,173,183],"predefined":[41,134],"field.":[43,136,186],"also":[45,138],"consider":[46,139],"case":[48,141],"hyperelliptic":[50,82,143,175],"with":[52,145],"genus":[53,146],"2,":[54,147],"including":[55,148],"both":[56,149],"and":[58,74,151,167],"ordinary":[59,152],"cases.":[60,153],"As":[61,154],"computational":[62,155],"examples,":[63,156],"show":[65,158],"even":[66,159],"DLP":[68,76,161,169],"on":[69,77,162,170],"3060-bit":[71,164],"curve":[73,83,166,176],"Jacobians":[78,171],"255-bit":[81,174],"solved":[86,179],"by":[87,180],"embedding":[88,181],"6120-bit":[91,184],"extension":[92,185],"field.In":[93]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}