{"id":"W2166905766","doi":"10.1109/tit.2007.911261","title":"Affine Reflection Group Codes","year":2008,"lang":"en","type":"article","venue":"IEEE Transactions on Information Theory","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Decoding methods; Correctness; Rank (graph theory); Mathematics; Affine transformation; Reflection (computer programming); Dimension (graph theory); Affine plane (incidence geometry); Affine space; Affine hull; Group (periodic table); Affine group; Homogeneous space; Vector space; Affine coordinate system; Affine combination; Combinatorics; Discrete mathematics; Algorithm; Computer science; Pure mathematics; 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":[0.0005355949,0.0005960095,0.0005858444,0.0008499225,0.0007974614,0.001301493,0.001008826,0.0007812291,0.008022051],"category_scores_gemma":[0.00235992,0.0002777162,0.000869889,0.000772295,0.001364026,0.001695969,0.002438999,0.001574039,0.003318172],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005050941,"about_ca_system_score_gemma":0.000995404,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004374866,"about_ca_topic_score_gemma":0.0004871083,"domain_scores_codex":[0.9988279,0.0002325389,0.00006350788,0.0002134762,0.0004369233,0.0002257652],"domain_scores_gemma":[0.9987323,0.0002723951,0.0001408094,0.0004506309,0.0002965674,0.0001073127],"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":[0.0001392931,0.00004888833,0.0004400001,0.00008335655,0.00001867604,0.0002573171,0.0002592589,0.01830483,0.01158365,0.8855507,0.003546255,0.07976775],"study_design_scores_gemma":[0.0001276726,0.0004034656,0.0003841451,0.00007031966,0.00003197719,0.001048381,0.0001596493,0.1428306,0.03474566,0.7726067,0.04749141,0.00009993972],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05058998,0.0003520873,0.8995603,0.0005089269,0.00020091,0.0002305625,0.0003435348,0.0009608108,0.04725287],"genre_scores_gemma":[0.5948277,0.0006259787,0.3751228,0.0004321307,0.0002660635,0.0003401911,0.0009015744,0.0003480805,0.02713561],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008022051,"threshold_uncertainty_score":0.0268364,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01521367901098625,"score_gpt":0.2250112200735565,"score_spread":0.2097975410625703,"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."}}