{"id":"W2030112834","doi":"10.1007/s00200-005-0184-x","title":"On the bit security of the Diffie-Hellman key","year":2005,"lang":"en","type":"article","venue":"Applicable Algebra in Engineering Communication and Computing","topic":"Cryptography and Data Security","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Diffie–Hellman key exchange; Prime (order theory); Mathematics; Function (biology); Elliptic curve; Bit (key); Discrete mathematics; Key (lock); Finite field; Arithmetic; Theoretical computer science; Computer science; Key exchange; Combinatorics; Public-key cryptography; Computer security; Pure mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004915097,0.000103506,0.000115283,0.00005833301,0.0001719182,0.0000650359,0.001404347,0.00004100955,0.000003019057],"category_scores_gemma":[0.00003909711,0.0000724139,0.00004415516,0.0005393394,0.00005677356,0.0001141449,0.0007749175,0.0003221004,0.000002594635],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001525901,"about_ca_system_score_gemma":0.000008561762,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004037857,"about_ca_topic_score_gemma":0.00001824847,"domain_scores_codex":[0.999241,0.00006739537,0.0002263728,0.0001696876,0.0001348402,0.0001606833],"domain_scores_gemma":[0.9980879,0.000549968,0.00008260521,0.001229004,0.00002076102,0.00002974236],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000001209354,0.00006038028,0.0005096375,0.0000151471,0.000006200347,6.602944e-8,0.001178905,0.005574223,0.0002578335,0.9851907,0.0001117389,0.007093925],"study_design_scores_gemma":[0.0002740248,0.00001655645,0.009672046,0.0001197438,0.000003704179,0.000004541653,0.00007326214,0.9537904,0.002600158,0.02504684,0.008221545,0.0001771645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8303578,0.0009019484,0.1633809,0.003601055,0.00005013025,0.0003172155,0.00000227598,0.0001224095,0.001266232],"genre_scores_gemma":[0.9920663,0.00007556854,0.007485941,0.0003378125,0.00001560916,0.00001074875,0.000001536686,0.000005405525,0.000001090246],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9601439,"threshold_uncertainty_score":0.2952953,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005165420690599298,"score_gpt":0.1935482100278562,"score_spread":0.1883827893372569,"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."}}