{"id":"https://openalex.org/W1973199379","doi":"https://doi.org/10.1145/2393216.2393246","title":"A special purpose integer factorization algorithm","display_name":"A special purpose integer factorization algorithm","publication_year":2012,"publication_date":"2012-10-26","ids":{"openalex":"https://openalex.org/W1973199379","doi":"https://doi.org/10.1145/2393216.2393246","mag":"1973199379"},"language":"en","primary_location":{"id":"doi:10.1145/2393216.2393246","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2393216.2393246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Second International Conference on Computational Science, Engineering and Information Technology","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":null,"display_name":"Porkodi Chinniah","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109528","display_name":"PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH","ror":"https://ror.org/01sa9ng67","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109528"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Porkodi Chinniah","raw_affiliation_strings":["PSG College of Technology, Coimbatore","Assistant Professor, PSG College of Technology, Coimbatore"],"affiliations":[{"raw_affiliation_string":"PSG College of Technology, Coimbatore","institution_ids":["https://openalex.org/I4210109528"]},{"raw_affiliation_string":"Assistant Professor, PSG College of Technology, Coimbatore","institution_ids":["https://openalex.org/I4210109528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080870345","display_name":"Nagarathnam Muthusamy","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nagarathnam Muthusamy","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh","MS Scholar #R##N#Information Networking Institute#R##N#Carnegie Mellon University, 5000, Forbes Avenue, Pittsburgh-15213"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"MS Scholar #R##N#Information Networking Institute#R##N#Carnegie Mellon University, 5000, Forbes Avenue, Pittsburgh-15213","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084281295","display_name":"Arumuganathan Ramalingam","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109528","display_name":"PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH","ror":"https://ror.org/01sa9ng67","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109528"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arumuganathan Ramalingam","raw_affiliation_strings":["PSG College of Technology, Coimbatore","Professor, PSG College of Technology,Coimbatore"],"affiliations":[{"raw_affiliation_string":"PSG College of Technology, Coimbatore","institution_ids":["https://openalex.org/I4210109528"]},{"raw_affiliation_string":"Professor, PSG College of Technology,Coimbatore","institution_ids":["https://openalex.org/I4210109528"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210109528"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20626873,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"175","last_page":"181"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13497","display_name":"Hermeneutics and Narrative Identity","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13497","display_name":"Hermeneutics and Narrative Identity","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13695","display_name":"Aging, Elder Care, and Social Issues","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13099","display_name":"Health, Medicine and Society","score":0.95660001039505,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/integer-factorization","display_name":"Integer factorization","score":0.7698313593864441},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6557767987251282},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.522294282913208},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5104988813400269},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.4931756854057312},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.48869588971138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4614843726158142},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4592367112636566},{"id":"https://openalex.org/keywords/mersenne-prime","display_name":"Mersenne prime","score":0.4572533965110779},{"id":"https://openalex.org/keywords/prime-factor","display_name":"Prime factor","score":0.4529128074645996},{"id":"https://openalex.org/keywords/quadratic-field","display_name":"Quadratic field","score":0.4521678388118744},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4404546916484833},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.4323299527168274},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4295497238636017},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.41175544261932373},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.40971869230270386},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3620021641254425},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2887337803840637},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.2401280403137207},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.18067967891693115},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.14236736297607422},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07970806956291199},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07856318354606628}],"concepts":[{"id":"https://openalex.org/C119677069","wikidata":"https://www.wikidata.org/wiki/Q4846249","display_name":"Integer factorization","level":4,"score":0.7698313593864441},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6557767987251282},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.522294282913208},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5104988813400269},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.4931756854057312},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.48869588971138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4614843726158142},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4592367112636566},{"id":"https://openalex.org/C29641680","wikidata":"https://www.wikidata.org/wiki/Q186875","display_name":"Mersenne prime","level":2,"score":0.4572533965110779},{"id":"https://openalex.org/C30860621","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime factor","level":3,"score":0.4529128074645996},{"id":"https://openalex.org/C95136341","wikidata":"https://www.wikidata.org/wiki/Q625519","display_name":"Quadratic field","level":4,"score":0.4521678388118744},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4404546916484833},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.4323299527168274},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4295497238636017},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.41175544261932373},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.40971869230270386},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3620021641254425},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2887337803840637},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.2401280403137207},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.18067967891693115},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.14236736297607422},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07970806956291199},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07856318354606628},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2393216.2393246","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2393216.2393246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Second International Conference on Computational Science, Engineering and Information Technology","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W24281520","https://openalex.org/W1444698350","https://openalex.org/W2005317356","https://openalex.org/W2043545422","https://openalex.org/W2071593615","https://openalex.org/W2085759780","https://openalex.org/W2096671263","https://openalex.org/W2145964906","https://openalex.org/W2915023553","https://openalex.org/W4210300416","https://openalex.org/W4232836212","https://openalex.org/W6630648322"],"related_works":["https://openalex.org/W2064708540","https://openalex.org/W2513446333","https://openalex.org/W2286463884","https://openalex.org/W2022674389","https://openalex.org/W2141534126","https://openalex.org/W651235690","https://openalex.org/W2965718713","https://openalex.org/W2095980625","https://openalex.org/W3046880994","https://openalex.org/W2993827715","https://openalex.org/W3021302326","https://openalex.org/W2909988024","https://openalex.org/W2155552496","https://openalex.org/W3119277422","https://openalex.org/W2080415500","https://openalex.org/W2927105728","https://openalex.org/W2771228159","https://openalex.org/W2988114010","https://openalex.org/W814832838","https://openalex.org/W2612773184"],"abstract_inverted_index":{"Factorization":[0],"of":[1,23,79,87,94,102],"large":[2],"integers":[3],"is":[4,17,73,84,98,105],"a":[5,21,68,80],"significant":[6],"mathematical":[7],"problem":[8],"with":[9],"practical":[10],"applications":[11],"to":[12,19,30,59,75],"public":[13,35],"key":[14,36],"cryptography.":[15],"It":[16],"considered":[18],"be":[20],"part":[22],"cryptanalysis.":[24],"The":[25,90,100],"progress":[26],"in":[27],"factoring":[28],"tends":[29],"weaken":[31],"the":[32,61,77,85,95,103],"existing":[33],"efficient":[34],"cryptosystems.":[37],"Several":[38],"algorithms":[39],"such":[40],"as":[41],"trial":[42],"division,":[43],"Pollard":[44,46],"rho,":[45],"p-1,":[47],"Quadratic":[48],"sieve,":[49],"Lenstra's":[50],"elliptic":[51],"curve":[52],"and":[53],"Number":[54],"field":[55],"sieve":[56],"are":[57],"available":[58],"solve":[60],"integer":[62],"factorization":[63,71],"problem.":[64],"In":[65],"this":[66],"paper":[67],"special":[69],"purpose":[70],"algorithm":[72],"proposed":[74,96],"find":[76],"factors":[78],"composite":[81],"number":[82],"which":[83],"product":[86],"two":[88],"primes.":[89],"running":[91],"time":[92],"complexity":[93],"scheme":[97,104],"discussed.":[99],"efficiency":[101],"proved":[106],"theoretically.":[107]},"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2016-06-24T00:00:00"}
