{"id":"W162262572","doi":"","title":"Subquadratic Multiplication Using Optimal Normal Bases","year":2006,"lang":"en","type":"article","venue":"","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Toeplitz matrix; Matrix multiplication; Multiplication (music); Mathematics; Multiplication algorithm; Binary number; Product (mathematics); Scheme (mathematics); Computational complexity theory; Algebra over a field; Matrix (chemical analysis); Computer science; Arithmetic; Algorithm; Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0008284758,0.0009070293,0.0007013508,0.0008788967,0.0006957577,0.002035926,0.0008896221,0.000398663,0.005204404],"category_scores_gemma":[0.002346077,0.0002586337,0.0004343706,0.001012818,0.001084689,0.003041566,0.001727724,0.00129933,0.001595689],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009390551,"about_ca_system_score_gemma":0.0009596128,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004717554,"about_ca_topic_score_gemma":0.0007729391,"domain_scores_codex":[0.9988689,0.0002760515,0.00007525043,0.0001456567,0.0004306358,0.0002034366],"domain_scores_gemma":[0.9991567,0.0002524978,0.00008250344,0.0002886252,0.0001505791,0.00006902156],"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":[0.0003276886,0.00009489514,0.0002171629,0.00009988897,0.00001685834,0.00007370438,0.0001135244,0.0178666,0.01462038,0.8290444,0.003480262,0.1340446],"study_design_scores_gemma":[0.00009161731,0.0003909581,0.0001565643,0.0000443365,0.00002376793,0.0002803078,0.00006752127,0.3139435,0.03488595,0.6377064,0.01234056,0.00006855423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04726785,0.000366314,0.9255953,0.0002550415,0.0001462328,0.00009195672,0.00009842953,0.0008020338,0.02537693],"genre_scores_gemma":[0.5909802,0.0006511267,0.3976334,0.0001272081,0.0001806043,0.0001638908,0.0002799466,0.0001345561,0.009849048],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005204404,"threshold_uncertainty_score":0.01741046,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01449888554027283,"score_gpt":0.2304967527314331,"score_spread":0.2159978671911603,"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."}}