{"id":"https://openalex.org/W3184415224","doi":"https://doi.org/10.1007/978-3-030-81652-0_10","title":"Boolean Ring Cryptographic Equation\u00a0Solving","display_name":"Boolean Ring Cryptographic Equation\u00a0Solving","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3184415224","doi":"https://doi.org/10.1007/978-3-030-81652-0_10","mag":"3184415224"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-81652-0_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-81652-0_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5061053285","display_name":"Se\u00e1n Murphy","orcid":"https://orcid.org/0000-0002-6582-4065"},"institutions":[{"id":"https://openalex.org/I184558857","display_name":"Royal Holloway University of London","ror":"https://ror.org/04g2vpn86","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Sean Murphy","raw_affiliation_strings":["Royal Holloway, University of London, London, UK"],"affiliations":[{"raw_affiliation_string":"Royal Holloway, University of London, London, UK","institution_ids":["https://openalex.org/I184558857"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013118322","display_name":"Maura B. Paterson","orcid":"https://orcid.org/0000-0002-3515-8436"},"institutions":[{"id":"https://openalex.org/I98259816","display_name":"Birkbeck, University of London","ror":"https://ror.org/02mb95055","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I98259816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Maura Paterson","raw_affiliation_strings":["Birkbeck, University of London, London, UK"],"affiliations":[{"raw_affiliation_string":"Birkbeck, University of London, London, UK","institution_ids":["https://openalex.org/I98259816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049186087","display_name":"Christine Swart","orcid":null},"institutions":[{"id":"https://openalex.org/I157614274","display_name":"University of Cape Town","ror":"https://ror.org/03p74gp79","country_code":"ZA","type":"education","lineage":["https://openalex.org/I157614274"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Christine Swart","raw_affiliation_strings":["University of Cape Town, Cape Town, South Africa"],"affiliations":[{"raw_affiliation_string":"University of Cape Town, Cape Town, South Africa","institution_ids":["https://openalex.org/I157614274"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061053285"],"corresponding_institution_ids":["https://openalex.org/I184558857"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17470006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"252","last_page":"272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9977999925613403,"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":0.9922000169754028,"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/quotient","display_name":"Quotient","score":0.6674948930740356},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6219134330749512},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6130727529525757},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5846023559570312},{"id":"https://openalex.org/keywords/quotient-ring","display_name":"Quotient ring","score":0.582037091255188},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5691545009613037},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4884559214115143},{"id":"https://openalex.org/keywords/boolean-ring","display_name":"Boolean ring","score":0.45769861340522766},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.44010451436042786},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.41707348823547363},{"id":"https://openalex.org/keywords/system-of-polynomial-equations","display_name":"System of polynomial equations","score":0.4126279354095459},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38505780696868896},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3366430103778839},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3267315626144409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3168201446533203},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2687552571296692},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15006467700004578},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1391924023628235}],"concepts":[{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.6674948930740356},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6219134330749512},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6130727529525757},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5846023559570312},{"id":"https://openalex.org/C19787925","wikidata":"https://www.wikidata.org/wiki/Q619436","display_name":"Quotient ring","level":4,"score":0.582037091255188},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5691545009613037},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4884559214115143},{"id":"https://openalex.org/C128134353","wikidata":"https://www.wikidata.org/wiki/Q2634401","display_name":"Boolean ring","level":5,"score":0.45769861340522766},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.44010451436042786},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.41707348823547363},{"id":"https://openalex.org/C105335568","wikidata":"https://www.wikidata.org/wiki/Q7663735","display_name":"System of polynomial equations","level":3,"score":0.4126279354095459},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38505780696868896},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3366430103778839},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3267315626144409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3168201446533203},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2687552571296692},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15006467700004578},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1391924023628235},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-81652-0_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-81652-0_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W17553438","https://openalex.org/W43491002","https://openalex.org/W68643468","https://openalex.org/W94701028","https://openalex.org/W202101684","https://openalex.org/W259464159","https://openalex.org/W1239042721","https://openalex.org/W1520563459","https://openalex.org/W1521221587","https://openalex.org/W1542020576","https://openalex.org/W1554035471","https://openalex.org/W1568587963","https://openalex.org/W1569499052","https://openalex.org/W1583871653","https://openalex.org/W1598156343","https://openalex.org/W1618496890","https://openalex.org/W1821087317","https://openalex.org/W1849802011","https://openalex.org/W1906691896","https://openalex.org/W2004746351","https://openalex.org/W2038345254","https://openalex.org/W2049707341","https://openalex.org/W2052880810","https://openalex.org/W2065151783","https://openalex.org/W2093643075","https://openalex.org/W2099172492","https://openalex.org/W2102010256","https://openalex.org/W2128968394","https://openalex.org/W2131218687","https://openalex.org/W2139092268","https://openalex.org/W2211004863","https://openalex.org/W2398667005","https://openalex.org/W2591842745","https://openalex.org/W2599300409","https://openalex.org/W4285719527","https://openalex.org/W4296292757"],"related_works":["https://openalex.org/W2377746397","https://openalex.org/W2330956688","https://openalex.org/W3183898621","https://openalex.org/W4310297568","https://openalex.org/W1963981417","https://openalex.org/W2072540733","https://openalex.org/W2380601865","https://openalex.org/W2025748361","https://openalex.org/W1979312155","https://openalex.org/W2362788747"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}