{"id":"W4412594313","doi":"10.3233/nicsp250005","title":"Supersingular Elliptic Curves, Quaternion Algebras and Applications to Cryptography","year":2025,"lang":"en","type":"book-chapter","venue":"NATO science for peace and security series. D, Information and communication security","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Quaternion; Supersingular elliptic curve; Elliptic curve; Mathematics; Pure mathematics; Cryptography; Algebra over a field; Geometry; Algorithm","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":[0.0002380339,0.0006285327,0.0003425528,0.001895851,0.001065428,0.002352148,0.0003878969,0.0005567473,0.01154675],"category_scores_gemma":[0.0006467924,0.0002556406,0.0002410438,0.003444396,0.00217704,0.003709561,0.001029847,0.001586069,0.002706277],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00132347,"about_ca_system_score_gemma":0.000466699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007882745,"about_ca_topic_score_gemma":0.0008309797,"domain_scores_codex":[0.9998124,0.00004420924,0.000008205768,0.00003006324,0.00008105332,0.00002403571],"domain_scores_gemma":[0.9997463,0.0001154526,0.0000298801,0.00003703957,0.00004310496,0.00002823955],"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":[0.000005905343,0.000007145179,0.00008715541,0.0001422002,0.000002004145,0.00005084118,0.0002047732,0.0008099066,0.0003794573,0.950471,0.01158278,0.03625677],"study_design_scores_gemma":[0.0000023611,0.00001370269,0.0002556437,0.0001367415,0.000002840947,0.0003619441,0.0002162627,0.001238141,0.0003856152,0.7195423,0.2778348,0.000009534944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.02071603,0.1810426,0.04161474,0.005076438,0.00255643,0.00004341043,0.0002003499,0.0003140107,0.748436],"genre_scores_gemma":[0.3842217,0.2557753,0.03878353,0.002318784,0.006422923,0.00007741951,0.0005097777,0.0002776508,0.3116129],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01154675,"threshold_uncertainty_score":0.03862774,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008687215608471417,"score_gpt":0.2510477400787441,"score_spread":0.2423605244702727,"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."}}