{"id":"https://openalex.org/W2962735991","doi":"https://doi.org/10.1145/3304221.3325557","title":"Idempotent Factorizations","display_name":"Idempotent Factorizations","publication_year":2019,"publication_date":"2019-07-02","ids":{"openalex":"https://openalex.org/W2962735991","doi":"https://doi.org/10.1145/3304221.3325557","mag":"2962735991"},"language":"en","primary_location":{"id":"doi:10.1145/3304221.3325557","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3304221.3325557","pdf_url":null,"source":null,"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 ACM Conference on Innovation and Technology in Computer Science Education","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/A5063844820","display_name":"Barry Fagin","orcid":"https://orcid.org/0000-0001-5940-2598"},"institutions":[{"id":"https://openalex.org/I430641","display_name":"United States Air Force Academy","ror":"https://ror.org/0055d0g64","country_code":"US","type":"government","lineage":["https://openalex.org/I1330347796","https://openalex.org/I4210089612","https://openalex.org/I4210102105","https://openalex.org/I430641"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Barry Fagin","raw_affiliation_strings":["US Air Force Academy, USAFA, CO, USA"],"affiliations":[{"raw_affiliation_string":"US Air Force Academy, USAFA, CO, USA","institution_ids":["https://openalex.org/I430641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063844820"],"corresponding_institution_ids":["https://openalex.org/I430641"],"apc_list":null,"apc_paid":null,"fwci":0.3392,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67151196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"303","last_page":"303"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9973000288009644,"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":0.9973000288009644,"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/python","display_name":"Python (programming language)","score":0.6625056266784668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6283303499221802},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5796332359313965},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.5575227737426758},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.53760826587677},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5312893986701965},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47667622566223145},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.46413013339042664},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45839038491249084},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3618253469467163},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3556319773197174},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3541693091392517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30223262310028076},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20769673585891724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18040496110916138},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.155807226896286},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15131407976150513},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0817461609840393}],"concepts":[{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.6625056266784668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6283303499221802},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5796332359313965},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.5575227737426758},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.53760826587677},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5312893986701965},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47667622566223145},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.46413013339042664},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45839038491249084},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3618253469467163},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3556319773197174},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3541693091392517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30223262310028076},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20769673585891724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18040496110916138},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.155807226896286},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15131407976150513},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0817461609840393},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3304221.3325557","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3304221.3325557","pdf_url":null,"source":null,"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 ACM Conference on Innovation and Technology in Computer Science Education","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W2341492732","https://openalex.org/W3187193180","https://openalex.org/W106542691","https://openalex.org/W1699080303","https://openalex.org/W4297799326","https://openalex.org/W3116064965","https://openalex.org/W4287027380","https://openalex.org/W3193760048","https://openalex.org/W4285822516","https://openalex.org/W767161385"],"abstract_inverted_index":{"While":[0],"it":[1],"is":[2,13],"commonly":[3],"believed":[4],"RSA":[5,18,31],"requires":[6],"two":[7],"primes":[8],"p":[9,24],"and":[10,53],"q,":[11],"that":[12,28],"incorrect.":[14],"Infinite":[15],"examples":[16],"of":[17],"encryption":[19],"moduli":[20],"n=pq":[21],"exist":[22],"with":[23,42],"and/or":[25],"q":[26],"composite":[27],"generate":[29],"correct":[30],"keys.":[32],"This":[33],"can":[34],"be":[35],"explained":[36],"in":[37],"the":[38,49,54],"undergraduate":[39],"cryptography":[40],"classroom":[41],"support":[43],"from":[44],"public":[45],"domain":[46],"technologies":[47],"like":[48],"python":[50],"numbthy":[51],"library":[52],"Gephi":[55],"graph":[56],"processor.":[57]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}