{"id":"https://openalex.org/W7082001285","doi":"https://doi.org/10.1515/dma-2024-0029","title":"On linear equivalence of piecewise-linear permutations of the field \ud835\udd3d2 n","display_name":"On linear equivalence of piecewise-linear permutations of the field \ud835\udd3d2 n","publication_year":2024,"publication_date":"2024-12-01","ids":{"openalex":"https://openalex.org/W7082001285","doi":"https://doi.org/10.1515/dma-2024-0029"},"language":"en","primary_location":{"id":"doi:10.1515/dma-2024-0029","doi":"https://doi.org/10.1515/dma-2024-0029","is_oa":false,"landing_page_url":"https://doi.org/10.1515/dma-2024-0029","pdf_url":null,"source":{"id":"https://openalex.org/S107669889","display_name":"Discrete Mathematics and Applications","issn_l":"0924-9265","issn":["0924-9265","0924-9266","1569-3929"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics and Applications","raw_type":"journal-article"},"volume":null,"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/A5082077062","display_name":"Andrey V. Menyachikhin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andrey V. Menyachikhin","raw_affiliation_strings":["TVP Laboratories , Nanjing China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TVP Laboratories , Nanjing China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5082077062"],"corresponding_institution_ids":[],"apc_list":{"value":2300,"currency":"EUR","value_usd":2489},"apc_paid":null,"fwci":0.2976,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59612069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"34","issue":"6","first_page":"331","last_page":"336"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9663000106811523,"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":0.9663000106811523,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.011300000362098217,"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"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.003000000026077032,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-equivalence","display_name":"linear equivalence","score":0.8500000238418579},{"id":"https://openalex.org/keywords/finite-fields","display_name":"finite fields","score":0.746999979019165},{"id":"https://openalex.org/keywords/binary-field","display_name":"binary field","score":0.5139999985694885},{"id":"https://openalex.org/keywords/boolean-functions","display_name":"Boolean functions","score":0.44699999690055847},{"id":"https://openalex.org/keywords/linear-feedback-shift-registers","display_name":"linear feedback shift registers","score":0.453000009059906}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9146000146865845},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7731000185012817},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5827000141143799},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48989999294281006},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4494999945163727},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4187000095844269},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4138999879360199},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.3962000012397766},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.3264000117778778},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.3057999908924103},{"id":"https://openalex.org/C34459055","wikidata":"https://www.wikidata.org/wiki/Q256151","display_name":"Matrix equivalence","level":4,"score":0.28450000286102295},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.2619999945163727},{"id":"https://openalex.org/C13851312","wikidata":"https://www.wikidata.org/wiki/Q909412","display_name":"Ordered field","level":2,"score":0.25609999895095825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/dma-2024-0029","doi":"https://doi.org/10.1515/dma-2024-0029","is_oa":false,"landing_page_url":"https://doi.org/10.1515/dma-2024-0029","pdf_url":null,"source":{"id":"https://openalex.org/S107669889","display_name":"Discrete Mathematics and Applications","issn_l":"0924-9265","issn":["0924-9265","0924-9266","1569-3929"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W112080296","https://openalex.org/W1489021826","https://openalex.org/W1587687098","https://openalex.org/W1959383191","https://openalex.org/W1976760079","https://openalex.org/W1979954918","https://openalex.org/W1981642919","https://openalex.org/W1987431330","https://openalex.org/W2020301329","https://openalex.org/W2051396760","https://openalex.org/W2401252705","https://openalex.org/W2789574727","https://openalex.org/W2793751779","https://openalex.org/W3037107416","https://openalex.org/W4237791995","https://openalex.org/W4248135912","https://openalex.org/W4252259617","https://openalex.org/W4378590925","https://openalex.org/W4414152513","https://openalex.org/W4414306995"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2],"conditions":[3],"for":[4],"linear":[5],"equivalence":[6],"of":[7,14],"piecewise-linear":[8,12],"and":[9],"partially":[10],"defined":[11],"permutations":[13],"the":[15],"field":[16],"\ud835\udd3d2":[17],"n":[18],".":[19]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
