{"id":"W2734862217","doi":"","title":"Faster scalar multiplication on koblitz curves combining point halving with the frobenius endomorphism","year":2004,"lang":"en","type":"article","venue":"","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Scalar multiplication; Mathematics; Elliptic curve; Scalar (mathematics); Endomorphism; Elliptic curve point multiplication; Precomputation; Edwards curve; Elliptic curve cryptography; Arithmetic; Discrete mathematics; Pure mathematics; Algorithm; Schoof's algorithm; Computer science; Public-key cryptography; Computation; Geometry; Encryption","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":[0.001062969,0.001353334,0.00132038,0.001585545,0.0009355445,0.002161169,0.001033374,0.001015508,0.01150924],"category_scores_gemma":[0.002598807,0.0005428484,0.001133384,0.001353451,0.001693362,0.007037459,0.004036835,0.001830741,0.00300168],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007495992,"about_ca_system_score_gemma":0.0004211238,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003617064,"about_ca_topic_score_gemma":0.0004003528,"domain_scores_codex":[0.9988948,0.0001927983,0.00006421803,0.0002226083,0.0004674031,0.0001582833],"domain_scores_gemma":[0.9990999,0.0002618421,0.00006236669,0.0003519481,0.0001260149,0.00009799696],"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":[0.0006222984,0.0001485516,0.001121793,0.000283291,0.00006803121,0.0003406818,0.0006688766,0.01164545,0.03478965,0.7970117,0.004578267,0.1487213],"study_design_scores_gemma":[0.00008870539,0.0002874343,0.0005418241,0.00004972762,0.00004457334,0.0004976669,0.0001365502,0.05972565,0.03559186,0.8886765,0.01426412,0.00009548646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3134343,0.001655126,0.6221061,0.0007886959,0.0005847325,0.0001477246,0.0002039346,0.003375445,0.05770398],"genre_scores_gemma":[0.846189,0.0006997228,0.1335464,0.0002357698,0.0003077071,0.00008860341,0.000260061,0.0008485178,0.01782417],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01150924,"threshold_uncertainty_score":0.03850222,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0248363775787706,"score_gpt":0.2579975071354945,"score_spread":0.2331611295567239,"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."}}