{"id":"https://openalex.org/W24889301","doi":"https://doi.org/10.1007/978-3-540-93806-4_33","title":"Radical Computation for Small Characteristics","display_name":"Radical Computation for Small Characteristics","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W24889301","doi":"https://doi.org/10.1007/978-3-540-93806-4_33","mag":"24889301"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-93806-4_33","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-93806-4_33","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gr\u00f6bner Bases, Coding, and Cryptography","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/A5005174170","display_name":"Ryutaroh Matsumoto","orcid":"https://orcid.org/0000-0002-5085-8879"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Ryutaroh Matsumoto","raw_affiliation_strings":["Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, Japan","Tokyo Inst. of Tech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Tokyo Inst. of Tech","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005174170"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":0.5791,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77354111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"427","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9988999962806702,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6696940064430237},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6443477272987366},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6320481896400452},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.5809871554374695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5751930475234985},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.49552834033966064},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4895263612270355},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4356464147567749},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3966972529888153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.326174795627594},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09739372134208679},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.09382224082946777},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07368868589401245},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0495738685131073}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6696940064430237},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6443477272987366},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6320481896400452},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.5809871554374695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5751930475234985},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.49552834033966064},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4895263612270355},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4356464147567749},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3966972529888153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.326174795627594},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09739372134208679},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.09382224082946777},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07368868589401245},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0495738685131073}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-93806-4_33","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-93806-4_33","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gr\u00f6bner Bases, Coding, and Cryptography","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W188825013","https://openalex.org/W1542029499","https://openalex.org/W1543638401","https://openalex.org/W1579709540","https://openalex.org/W1969237032","https://openalex.org/W1973452640","https://openalex.org/W1989763544","https://openalex.org/W2004746351","https://openalex.org/W2031399497","https://openalex.org/W2032308974","https://openalex.org/W2050280654","https://openalex.org/W2051998660","https://openalex.org/W2175098281","https://openalex.org/W2504658842","https://openalex.org/W2752853835","https://openalex.org/W3021014091","https://openalex.org/W4235699769","https://openalex.org/W4243098353"],"related_works":["https://openalex.org/W2768765413","https://openalex.org/W223331605","https://openalex.org/W2258715480","https://openalex.org/W1582299817","https://openalex.org/W2801596938","https://openalex.org/W25273802","https://openalex.org/W1565942289","https://openalex.org/W4390188610","https://openalex.org/W2491864954","https://openalex.org/W4389292202"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}