{"id":"W4284676172","doi":"10.5802/alco.215","title":"Octonions and the two strictly projective tight 5-designs","year":2022,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada","funders":"Canadian Defence Academy","keywords":"Projective plane; Projective space; Mathematics; Lattice (music); Projective test; Real projective plane; Collineation; Blocking set; Pure mathematics; Projective linear group; Quaternionic projective space; Combinatorics; Discrete mathematics; Complex projective space; Geometry; Physics; Correlation","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002488894,0.0003212123,0.0001886972,0.000600421,0.0008456627,0.001340795,0.0002997241,0.0003376475,0.004106642],"category_scores_gemma":[0.0006431025,0.000221938,0.0002585437,0.0004946284,0.001565419,0.001318868,0.001012412,0.0008258208,0.0003580096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005025783,"about_ca_system_score_gemma":0.000346302,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006733894,"about_ca_topic_score_gemma":0.001219719,"domain_scores_codex":[0.9995278,0.0001298585,0.00002482439,0.00007118262,0.0001245763,0.0001217684],"domain_scores_gemma":[0.9997296,0.00004702434,0.00006587811,0.00005115769,0.00003643009,0.0000699146],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006326783,0.000009598613,0.0002453766,0.00001871605,0.000004221708,0.0001177612,0.000133209,0.001399569,0.00274093,0.9846507,0.000358919,0.0102577],"study_design_scores_gemma":[0.00003921865,0.000189438,0.001085685,0.00003508028,0.00001416238,0.000507599,0.0005773742,0.009309514,0.007521276,0.9550902,0.02557982,0.00005068977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.762712,0.0004566062,0.1342648,0.0004071485,0.0001839101,0.00005989061,0.0001739153,0.0001690802,0.1015726],"genre_scores_gemma":[0.9680347,0.0001579448,0.02074845,0.0001337397,0.00003360537,0.00004088149,0.00009141719,0.00002818802,0.01073113],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004106642,"threshold_uncertainty_score":0.0137381,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03658627681122073,"score_gpt":0.2954454746748483,"score_spread":0.2588591978636276,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}