{"id":"W2150782829","doi":"10.1109/tc.2007.19","title":"A New Approach to Subquadratic Space Complexity Parallel Multipliers for Extended Binary Fields","year":2007,"lang":"en","type":"article","venue":"IEEE Transactions on Computers","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":124,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Computational complexity theory; Polynomial basis; Multiplier (economics); Mathematics; Discrete mathematics; Matrix multiplication; Toeplitz matrix; Polynomial; Time complexity; Computer science; Algorithm; Combinatorics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004564932,0.0009351341,0.0004761724,0.0009960172,0.0007157152,0.001221195,0.001233893,0.0003867324,0.008535557],"category_scores_gemma":[0.001095328,0.0003624586,0.0005601734,0.001286363,0.0005598139,0.002036393,0.001018876,0.001161825,0.002452543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008109821,"about_ca_system_score_gemma":0.001085307,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005356963,"about_ca_topic_score_gemma":0.00132427,"domain_scores_codex":[0.9995473,0.00009910783,0.00004510212,0.00008517677,0.0001748908,0.00004830646],"domain_scores_gemma":[0.9995627,0.0001042756,0.00005366717,0.0001263413,0.0001297909,0.00002326468],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0004063247,0.0001828625,0.0003105525,0.0003348473,0.00006068091,0.0001548216,0.0002127113,0.02704395,0.08186843,0.4021382,0.008117145,0.4791693],"study_design_scores_gemma":[0.0002881013,0.00134325,0.0003939867,0.0001031723,0.0001398705,0.001104158,0.000103992,0.4922515,0.1655496,0.2228166,0.115778,0.0001277278],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01009848,0.0002901093,0.9795101,0.0001378689,0.0001120351,0.000110862,0.00005524692,0.000651601,0.009033665],"genre_scores_gemma":[0.1235944,0.0005314335,0.8643678,0.0001864523,0.0001565819,0.0002861182,0.0001845495,0.0001151635,0.0105775],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.008535557,"threshold_uncertainty_score":0.02855432,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04373998678267655,"score_gpt":0.2750253196515641,"score_spread":0.2312853328688875,"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."}}