{"id":"W2076436757","doi":"10.1007/s10623-008-9195-5","title":"The trace of an optimal normal element and low complexity normal bases","year":2008,"lang":"en","type":"article","venue":"Designs Codes and Cryptography","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":19,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Extension (predicate logic); Element (criminal law); Type (biology); Mathematics; TRACE (psycholinguistics); Combinatorics; Finite field; Field (mathematics); Discrete mathematics; Pure mathematics; Computer science","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":[0.0009678146,0.0007492793,0.0008685747,0.001119767,0.0009566247,0.002506592,0.001441949,0.001363393,0.007813659],"category_scores_gemma":[0.007470675,0.0004369946,0.0005501526,0.001009724,0.003288988,0.004391117,0.002736912,0.003155114,0.001402461],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00108423,"about_ca_system_score_gemma":0.001098236,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007287438,"about_ca_topic_score_gemma":0.0005103095,"domain_scores_codex":[0.9986891,0.0003128414,0.00005706444,0.0002011383,0.0005280092,0.000211862],"domain_scores_gemma":[0.99784,0.0008875712,0.0001799697,0.0004386168,0.0003467545,0.0003070185],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001142741,0.00003159641,0.0001574301,0.00002255085,0.000005532229,0.00003301812,0.00009071367,0.004664457,0.00138472,0.9835916,0.001000722,0.00890344],"study_design_scores_gemma":[0.00001319725,0.00003838673,0.00004702044,0.000009087691,0.000003280979,0.00006748181,0.00003261213,0.02251191,0.001163234,0.9747696,0.00133254,0.00001167725],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3337613,0.0005377042,0.569034,0.002699334,0.000436545,0.00009715513,0.0003481935,0.0005200059,0.09256566],"genre_scores_gemma":[0.8878263,0.0005232191,0.06640045,0.0004547542,0.0003368804,0.0001057915,0.0003291324,0.000302637,0.04372092],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007813659,"threshold_uncertainty_score":0.02613932,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03360526761037703,"score_gpt":0.241619337353863,"score_spread":0.208014069743486,"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."}}