{"id":"W2122183684","doi":"10.1109/tc.2007.70815","title":"Fast and Flexible Elliptic Curve Point Arithmetic over Prime Fields","year":2008,"lang":"en","type":"article","venue":"IEEE Transactions on Computers","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":76,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"SIMD; Atomicity; Multiplication (music); Computer science; Elliptic curve cryptography; Elliptic curve; Parallel computing; Elliptic curve point multiplication; Curve25519; Multiprocessing; Prime (order theory); Arithmetic; Mathematics; Public-key cryptography; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001077315,0.0002214062,0.0002168943,0.0003431721,0.0003977106,0.0001094113,0.0004281889,0.0001044643,0.00002226457],"category_scores_gemma":[0.000001373749,0.0002074804,0.0001617183,0.0005724892,0.0001697584,0.0003519643,0.000008555277,0.0003281901,0.0000410618],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003015612,"about_ca_system_score_gemma":0.00005131015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007657188,"about_ca_topic_score_gemma":0.00001154175,"domain_scores_codex":[0.9985848,0.00007109103,0.000238919,0.0004927798,0.0002770405,0.0003353525],"domain_scores_gemma":[0.9990138,0.000196751,0.00005229076,0.0005186184,0.00004199295,0.0001764841],"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":[0.000169417,0.002920095,0.001084978,0.0001894083,0.0008256142,0.0007503737,0.01348934,0.2092548,0.002337751,0.01186695,0.005050764,0.7520605],"study_design_scores_gemma":[0.003976698,0.001800874,0.01755149,0.000290598,0.0001125874,0.001656269,0.00008783935,0.9171302,0.05000574,0.003275654,0.002237507,0.001874553],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03512949,0.0001175426,0.9623333,0.0006035345,0.001106798,0.0001813454,0.000003476936,0.0002830198,0.000241441],"genre_scores_gemma":[0.9507229,0.0001592399,0.04826424,0.0006054985,0.00004476375,0.00001407209,5.422785e-7,0.00001381432,0.0001748883],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9155934,"threshold_uncertainty_score":0.8460805,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01401900193872338,"score_gpt":0.2205330533353361,"score_spread":0.2065140513966127,"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."}}