{"id":"https://openalex.org/W4409326841","doi":"https://doi.org/10.1007/s10623-025-01590-3","title":"Utilizing two subfields to accelerate individual logarithm computation in extended tower number field sieve","display_name":"Utilizing two subfields to accelerate individual logarithm computation in extended tower number field sieve","publication_year":2025,"publication_date":"2025-04-10","ids":{"openalex":"https://openalex.org/W4409326841","doi":"https://doi.org/10.1007/s10623-025-01590-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-025-01590-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-025-01590-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5103103191","display_name":"Yuqing Zhu","orcid":"https://orcid.org/0000-0002-9094-7569"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuqing Zhu","raw_affiliation_strings":["Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, School of Cyberspace Science and Technology, Beijing Jiaotong University, Beijing, 100044, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, School of Cyberspace Science and Technology, Beijing Jiaotong University, Beijing, 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033605871","display_name":"Chang Lv","orcid":"https://orcid.org/0000-0002-6134-7871"},"institutions":[{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chang Lv","raw_affiliation_strings":["State Key Laboratory of Cyberspace Security Defense, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Cyberspace Security Defense, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210156404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070828650","display_name":"Jiqiang Liu","orcid":"https://orcid.org/0000-0003-1147-4327"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiqiang Liu","raw_affiliation_strings":["Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, School of Cyberspace Science and Technology, Beijing Jiaotong University, Beijing, 100044, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, School of Cyberspace Science and Technology, Beijing Jiaotong University, Beijing, 100044, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103103191"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08934503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"93","issue":"8","first_page":"3011","last_page":"3027"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991999864578247,"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":0.9991999864578247,"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/T10237","display_name":"Cryptography and Data Security","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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.7866946458816528},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.752975583076477},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.7212554812431335},{"id":"https://openalex.org/keywords/sieve","display_name":"Sieve (category theory)","score":0.7037503123283386},{"id":"https://openalex.org/keywords/tower","display_name":"Tower","score":0.6007305979728699},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5900081992149353},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5115407705307007},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4508143365383148},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.40408390760421753},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3917003870010376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3240417242050171},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22912463545799255},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17865031957626343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15881681442260742},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1541309952735901},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.08188185095787048},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.05642297863960266},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.055637210607528687}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7866946458816528},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.752975583076477},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.7212554812431335},{"id":"https://openalex.org/C17732976","wikidata":"https://www.wikidata.org/wiki/Q7511782","display_name":"Sieve (category theory)","level":2,"score":0.7037503123283386},{"id":"https://openalex.org/C2777831296","wikidata":"https://www.wikidata.org/wiki/Q12518","display_name":"Tower","level":2,"score":0.6007305979728699},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5900081992149353},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5115407705307007},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4508143365383148},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.40408390760421753},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3917003870010376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3240417242050171},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22912463545799255},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17865031957626343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15881681442260742},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1541309952735901},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.08188185095787048},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.05642297863960266},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.055637210607528687},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-025-01590-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-025-01590-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1434595323","display_name":null,"funder_award_id":"62002015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5861458596","display_name":null,"funder_award_id":"11701552","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6555756336","display_name":null,"funder_award_id":"2024JBZY011","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W600997534","https://openalex.org/W1490637410","https://openalex.org/W1520251037","https://openalex.org/W1534733761","https://openalex.org/W1553083934","https://openalex.org/W1578625033","https://openalex.org/W1684267317","https://openalex.org/W1758781646","https://openalex.org/W1850106430","https://openalex.org/W1950331499","https://openalex.org/W1969613838","https://openalex.org/W1969728959","https://openalex.org/W1984753839","https://openalex.org/W2020929171","https://openalex.org/W2021384897","https://openalex.org/W2092705148","https://openalex.org/W2108834246","https://openalex.org/W2141040012","https://openalex.org/W2141506304","https://openalex.org/W2156186849","https://openalex.org/W2295494829","https://openalex.org/W2406585997","https://openalex.org/W2408939312","https://openalex.org/W2560395997","https://openalex.org/W2576352420","https://openalex.org/W2741945342","https://openalex.org/W2781216073","https://openalex.org/W2790485266","https://openalex.org/W2804627268","https://openalex.org/W2936696234","https://openalex.org/W2966295786","https://openalex.org/W2994293923","https://openalex.org/W3002042021","https://openalex.org/W3035895299","https://openalex.org/W3100673968","https://openalex.org/W4310346129"],"related_works":["https://openalex.org/W2893614166","https://openalex.org/W1597678101","https://openalex.org/W1555245969","https://openalex.org/W1490994218","https://openalex.org/W2321282558","https://openalex.org/W2299507895","https://openalex.org/W1900540279","https://openalex.org/W4300200155","https://openalex.org/W2117672015","https://openalex.org/W2514478013"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}