{"id":"W2078293442","doi":"10.1515/jmc.2010.001","title":"Factor-4 and 6 compression of cyclotomic subgroups of and","year":2010,"lang":"en","type":"article","venue":"Journal of Mathematical Cryptology","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Pairing; Exponentiation; Mathematics; Discrete logarithm; Finite field; Multiplicative group; Prime (order theory); Elliptic curve; Cryptography; Order (exchange); Embedding; Prime factor; Discrete mathematics; Multiplicative function; Combinatorics; Pure mathematics; Algorithm; Public-key cryptography; Computer science; 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":[0.000463167,0.0006801199,0.0005938188,0.0008013506,0.0003453036,0.001019045,0.0006134944,0.0005762505,0.005812474],"category_scores_gemma":[0.003101303,0.0002126617,0.0005167257,0.001096316,0.0006077454,0.002513496,0.001586041,0.0006780635,0.001049505],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005316855,"about_ca_system_score_gemma":0.0006982686,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005548989,"about_ca_topic_score_gemma":0.0006904306,"domain_scores_codex":[0.9993857,0.00008848409,0.00005018569,0.00008707124,0.0002608091,0.0001278215],"domain_scores_gemma":[0.9982947,0.0004199827,0.0002368891,0.0007442636,0.0002139254,0.00009013766],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.006701368,0.0006175073,0.007262913,0.0004865989,0.0001779972,0.001473793,0.001763077,0.05880508,0.1240012,0.08295044,0.01272577,0.7030343],"study_design_scores_gemma":[0.0006518893,0.001500202,0.003542843,0.000139143,0.0001287619,0.001847991,0.0009868924,0.4633718,0.4174407,0.07530513,0.03495595,0.0001287707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8556907,0.0006683291,0.1278462,0.0006915251,0.0002566371,0.0001951707,0.0005280559,0.003727964,0.01039543],"genre_scores_gemma":[0.8958647,0.000239419,0.09576223,0.00009630123,0.0001153213,0.00008664488,0.001271642,0.0002032801,0.006360554],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005812474,"threshold_uncertainty_score":0.01944464,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01011419312858089,"score_gpt":0.2554686893593438,"score_spread":0.2453544962307629,"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."}}