{"id":"https://openalex.org/W2421425346","doi":"https://doi.org/10.1007/s00200-016-0294-7","title":"Counting permutation equivalent degree six binary polynomials invariant under the cyclic group","display_name":"Counting permutation equivalent degree six binary polynomials invariant under the cyclic group","publication_year":2016,"publication_date":"2016-06-15","ids":{"openalex":"https://openalex.org/W2421425346","doi":"https://doi.org/10.1007/s00200-016-0294-7","mag":"2421425346"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-016-0294-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-016-0294-7","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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/A5007752336","display_name":"Florian Luca","orcid":"https://orcid.org/0000-0003-1321-4422"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]},{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX","ZA"],"is_corresponding":false,"raw_author_name":"Florian Luca","raw_affiliation_strings":["Centro de Ciencias Matematicas UNAM, Morelia, Mexico","School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, 2050, South Africa","School of Mathematics, University of the Witwatersrand, Wits, South Africa"],"affiliations":[{"raw_affiliation_string":"Centro de Ciencias Matematicas UNAM, Morelia, Mexico","institution_ids":["https://openalex.org/I8961855"]},{"raw_affiliation_string":"School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, 2050, South Africa","institution_ids":["https://openalex.org/I192619145"]},{"raw_affiliation_string":"School of Mathematics, University of the Witwatersrand, Wits, South Africa","institution_ids":["https://openalex.org/I192619145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021290362","display_name":"Pantelimon St\u0103nic\u0103","orcid":"https://orcid.org/0000-0002-8622-7120"},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]},{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["RO","US"],"is_corresponding":true,"raw_author_name":"Pantelimon St\u0103nic\u0103","raw_affiliation_strings":["Applied Mathematics Department, Naval Postgraduate School, Monterey, CA, 93943-5216, USA","Institute of Mathematics \u201cSimion Stoilow\u201d of the Romanian Academy, Bucharest, Romania","Applied Mathematics Department, Naval Postgraduate School, Monterey, USA"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics Department, Naval Postgraduate School, Monterey, CA, 93943-5216, USA","institution_ids":["https://openalex.org/I35364215"]},{"raw_affiliation_string":"Institute of Mathematics \u201cSimion Stoilow\u201d of the Romanian Academy, Bucharest, Romania","institution_ids":["https://openalex.org/I58077936"]},{"raw_affiliation_string":"Applied Mathematics Department, Naval Postgraduate School, Monterey, USA","institution_ids":["https://openalex.org/I35364215"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021290362"],"corresponding_institution_ids":["https://openalex.org/I35364215","https://openalex.org/I58077936"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3302,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87062148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"28","issue":"1","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/mathematics","display_name":"Mathematics","score":0.8209447264671326},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.7033706307411194},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6253145337104797},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6062757968902588},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.543006956577301},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.5220165848731995},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.49736765027046204},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4810469448566437},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4740735590457916},{"id":"https://openalex.org/keywords/permutation-group","display_name":"Permutation group","score":0.4365563690662384},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.433353990316391},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.43044987320899963},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4059640169143677},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3005516827106476},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10423609614372253},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06908923387527466}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8209447264671326},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7033706307411194},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6253145337104797},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6062757968902588},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.543006956577301},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.5220165848731995},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.49736765027046204},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4810469448566437},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4740735590457916},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.4365563690662384},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.433353990316391},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.43044987320899963},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4059640169143677},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3005516827106476},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10423609614372253},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06908923387527466},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00200-016-0294-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-016-0294-7","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},{"id":"pmh:oai:calhoun.nps.edu:10945/52632","is_oa":false,"landing_page_url":"http://hdl.handle.net/10945/52632","pdf_url":null,"source":{"id":"https://openalex.org/S4306400952","display_name":"Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35364215","host_organization_name":"Naval Postgraduate School","host_organization_lineage":["https://openalex.org/I35364215"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320685","display_name":"University of the Witwatersrand, Johannesburg","ror":"https://ror.org/03rp50x72"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W983007869","https://openalex.org/W1880399293","https://openalex.org/W1906781933","https://openalex.org/W1983583936","https://openalex.org/W2013064789","https://openalex.org/W2049166879","https://openalex.org/W2051491799","https://openalex.org/W2118439495","https://openalex.org/W2129409147","https://openalex.org/W2141456319","https://openalex.org/W2316687508","https://openalex.org/W3031060042","https://openalex.org/W4247689448","https://openalex.org/W4298109338"],"related_works":["https://openalex.org/W3133665497","https://openalex.org/W131839596","https://openalex.org/W2349665798","https://openalex.org/W3022014824","https://openalex.org/W4320165426","https://openalex.org/W4297974225","https://openalex.org/W368092084","https://openalex.org/W3013156496","https://openalex.org/W4251766710","https://openalex.org/W3101611711"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}