{"doi":"10.1515/dma-2015-0003","title":"An approach to the classification of Boolean bent functions of the nonlinearity degree 3","abstract":"<jats:title>Abstract</jats:title>\n                  <jats:p>We consider an approach to the classification of n-variable Boolean bent functions of the nonlinearity degree 3. We utilize the apparatus of bent rectangles introduced by S. V. Agievich. This apparatus was used for the classification of 8-variable Boolean cubic bent functions. The results of our research allow to construct cubic bent functions that depend on an arbitrary even number of variables; the construction is based on well studied quadratic bent functions.</jats:p>","journal":"Discrete Mathematics and Applications","year":2015,"id":44477,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":209354,"name":"Vladislav I. Nozdrunov","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21071399","pmcid":null,"openalex_id":"https://openalex.org/W2314418525","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.11583746,"influential_citations":0,"citation_trend":[],"oa_status":"closed","license":null,"oa_locations":[{"url":"https://www.degruyter.com/document/doi/10.1515/dma-2015-0003/pdf","host_type":"publisher"},{"url":"https://doi.org/10.1515/dma-2015-0003","host_type":"journal"}],"fields_of_study":["Coding theory and cryptography","Cancer Mechanisms and Therapy","Mathematics"],"mesh_terms":[],"keywords":["Bent molecular geometry","Boolean function","Bent function","Mathematics","Degree (music)","Quadratic equation","Variable (mathematics)","Nonlinear system","Construct (python library)","Discrete mathematics","Combinatorics","Mathematical analysis","Geometry","Computer science"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-07-01T02:27:34.362401Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}