{"id":"W1490460472","doi":"10.1007/978-3-540-69499-1_9","title":"Digit-Serial Structures for the Shifted Polynomial Basis Multiplication over Binary Extension Fields","year":2008,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":36,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Polynomial basis; Finite field; Multiplication (music); Multiplier (economics); Basis (linear algebra); Computer science; Arithmetic; Polynomial; Normal basis; Binary number; Numerical digit; Finite field arithmetic; Computation; Mathematics; Algorithm; Discrete mathematics; Combinatorics; Galois theory","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":[0.0003271532,0.0004514873,0.0003720987,0.0005489938,0.0007209265,0.0004490867,0.00273545,0.0004214755,0.00001225677],"category_scores_gemma":[0.0001099323,0.000311896,0.0002777376,0.0005323311,0.0007765542,0.0004286373,0.0008504177,0.0005815723,0.000004457183],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009005006,"about_ca_system_score_gemma":0.0003066106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006315476,"about_ca_topic_score_gemma":0.00008074784,"domain_scores_codex":[0.9970197,0.00002950417,0.0004369326,0.001299952,0.000679885,0.0005339885],"domain_scores_gemma":[0.9967227,0.001220005,0.000252734,0.001494298,0.0001946945,0.0001155815],"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":[0.00007482582,0.00004169007,0.00007211947,0.00003229689,0.00003391783,0.00003174879,0.0010827,0.02440557,0.0005109951,0.00505999,0.0007603461,0.9678938],"study_design_scores_gemma":[0.001502805,0.0005860424,0.0148354,0.0002579938,0.00004724869,0.0001598462,5.23555e-7,0.8653375,0.005807882,0.0984847,0.01155844,0.001421638],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001920145,0.0007921449,0.991793,0.001480903,0.002909668,0.0008259175,0.0000133967,0.0001276205,0.0001372131],"genre_scores_gemma":[0.6780988,0.0004171772,0.3164722,0.002620082,0.002129619,0.00005778092,0.00001910286,0.00005509943,0.000130128],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9664721,"threshold_uncertainty_score":0.9999333,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01692523576614649,"score_gpt":0.2441798441510097,"score_spread":0.2272546083848632,"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."}}