{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004539123,0.0001289318,0.0001030757,0.0004154378,0.0005913007,0.00007634275,0.0003405142,0.00007080781,0.0001422818],"category_scores_gemma":[0.000006118698,0.0001228846,0.0001204016,0.0006430352,0.0000839852,0.002448518,0.000001961106,0.0001959261,0.0003694683],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004148053,"about_ca_system_score_gemma":0.00002584895,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003936586,"about_ca_topic_score_gemma":0.000002431192,"domain_scores_codex":[0.9990849,0.0001226187,0.0002668293,0.0001277895,0.0002211699,0.0001766239],"domain_scores_gemma":[0.9992447,0.0001500854,0.00008671193,0.0003823869,0.00006992913,0.00006619451],"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":[0.0002148419,0.0001735874,0.000005665099,0.00001877924,0.00005192047,0.000002506546,0.004607985,0.005440262,0.0005658757,0.687009,0.0005693734,0.3013401],"study_design_scores_gemma":[0.006487411,0.003376498,0.002255318,0.0002353608,0.0001272478,0.001346791,0.001626118,0.06707291,0.2152582,0.5582869,0.1408559,0.003071387],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.007103913,0.000008655359,0.9783019,0.0001124573,0.0007752537,0.0001236261,0.000006217364,0.0005206316,0.01304729],"genre_scores_gemma":[0.9939498,0.00004482575,0.004957247,0.0006979788,0.00002768944,0.00004308605,0.000003447801,0.000005137625,0.0002707947],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9868459,"threshold_uncertainty_score":0.5011086,"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."}}