{"id":"W4308166550","doi":"10.48550/arxiv.2211.00897","title":"On the equivalence of linear cyclic and constacyclic codes","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Equivalence (formal languages); Mathematics; Computer science; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004598394,0.0001898746,0.0002268503,0.0001924265,0.0002857949,0.00004314074,0.001791988,0.00008403628,0.0001024518],"category_scores_gemma":[0.000055018,0.0001708194,0.000162102,0.0005301145,0.0003653687,0.0001009892,0.002685646,0.0005230129,0.000007164312],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003061456,"about_ca_system_score_gemma":0.00006632273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003296143,"about_ca_topic_score_gemma":0.000004257045,"domain_scores_codex":[0.9986277,0.0003054586,0.0001386742,0.0006363707,0.00009767901,0.0001940807],"domain_scores_gemma":[0.9977995,0.0007657917,0.0002065237,0.001115589,0.00004422252,0.00006843007],"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":[0.0000299409,0.00005269493,0.001251711,0.00003467875,0.00004974018,0.00003900583,0.0002699209,0.006681318,0.00007305494,0.9911077,0.00007194044,0.0003383142],"study_design_scores_gemma":[0.0003555357,0.0002333402,0.001243047,0.0001436837,0.00007226021,0.000005752125,0.0003025145,0.06774453,0.0005950461,0.9279285,0.0009296489,0.0004461564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8818853,0.00009704663,0.1126616,0.0001831285,0.000244463,0.0001923999,0.00002315515,0.0001022638,0.004610557],"genre_scores_gemma":[0.9990977,0.000248449,0.0002910919,0.0001642993,0.00001416947,0.000001141994,0.000002142596,0.000007023018,0.0001739596],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1172124,"threshold_uncertainty_score":0.6965815,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0758015718727185,"score_gpt":0.1971062776511119,"score_spread":0.1213047057783934,"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."}}