{"id":"W189254053","doi":"10.1007/978-3-319-13039-2_25","title":"A Quantum Algorithm for Computing Isogenies between Supersingular Elliptic Curves","year":2014,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":92,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Isogeny; Supersingular elliptic curve; Quantum algorithm; Quantum computer; Elliptic curve; Finite field; Field (mathematics); Computer science; Quantum; Cryptography; Base (topology); Schoof's algorithm; Algorithm; Post-quantum cryptography; Mathematics; Discrete mathematics; Pure mathematics; Physics; Quantum mechanics; Mathematical analysis; Quarter period","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001539517,0.000702544,0.0009395921,0.001108063,0.0006067456,0.0005814959,0.003726234,0.0003786225,0.000005605219],"category_scores_gemma":[0.000103362,0.0006424433,0.0004214858,0.0008076387,0.001059307,0.0003309734,0.001071173,0.0007438739,0.00001841463],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00013447,"about_ca_system_score_gemma":0.0003559414,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002168001,"about_ca_topic_score_gemma":0.00001138063,"domain_scores_codex":[0.995295,0.00006382857,0.0007285308,0.001857919,0.001011021,0.001043731],"domain_scores_gemma":[0.9961386,0.001526334,0.0003334832,0.001400181,0.0003540957,0.0002473454],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000001750517,0.00002021325,0.00008241208,0.0002553932,0.00004421215,0.00002335333,0.0005470939,0.00221779,0.0000329057,0.0199124,0.00006296438,0.9767995],"study_design_scores_gemma":[0.0003980059,0.0003860957,0.0001547516,0.001814489,0.00005128893,0.00006058045,3.369055e-7,0.8490806,0.0006954744,0.1433119,0.003021956,0.001024476],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00008965838,0.004422442,0.9917055,0.000918854,0.001647663,0.000752346,0.00001632534,0.0002450356,0.0002021118],"genre_scores_gemma":[0.04091093,0.0002097257,0.9557076,0.001635384,0.001339132,0.00001164574,0.00002179461,0.00006749418,0.00009634041],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9757751,"threshold_uncertainty_score":0.9996027,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01731719029527132,"score_gpt":0.2471992145101962,"score_spread":0.2298820242149249,"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."}}