{"id":"W2102564119","doi":"10.1109/92.974900","title":"Efficient exponentiation using weakly dual basis","year":2001,"lang":"en","type":"article","venue":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Exponentiation; Finite field; Polynomial basis; Basis (linear algebra); Mathematics; Modular exponentiation; Polynomial; Normal basis; Dual (grammatical number); Square (algebra); Topology (electrical circuits); Computer science; Discrete mathematics; Public-key cryptography; Combinatorics; Encryption; Galois theory; Mathematical analysis; Geometry","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":[0.0002170284,0.000317166,0.0003201884,0.0005101042,0.0003403606,0.0005575295,0.0006111448,0.0001904901,0.00208155],"category_scores_gemma":[0.000436475,0.000198072,0.0001983267,0.00042711,0.0003411905,0.001123009,0.0007564606,0.0005006646,0.0008976674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002510321,"about_ca_system_score_gemma":0.0003301958,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001519519,"about_ca_topic_score_gemma":0.0003277495,"domain_scores_codex":[0.9998264,0.00003129109,0.00001752364,0.00002901962,0.00006718644,0.00002857374],"domain_scores_gemma":[0.999745,0.00004141644,0.00003144727,0.00009256397,0.00006638202,0.00002323039],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0008811384,0.0001415234,0.001355751,0.0002333731,0.00004457416,0.0003315277,0.0002045544,0.01219628,0.5029502,0.0825346,0.002779506,0.396347],"study_design_scores_gemma":[0.0002632336,0.001948093,0.001540675,0.00007394446,0.0001157708,0.001677286,0.0001437991,0.3193545,0.554486,0.05962932,0.06066604,0.0001013766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2361359,0.0006522579,0.7519507,0.0001515886,0.0001337201,0.0001029696,0.00008676617,0.001684974,0.009101176],"genre_scores_gemma":[0.7750001,0.0002987513,0.2175308,0.00007589295,0.00005064632,0.00007202112,0.0002446296,0.0000576403,0.006669465],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00208155,"threshold_uncertainty_score":0.006963432,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01941881574694752,"score_gpt":0.240251609791976,"score_spread":0.2208327940450285,"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."}}