{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001448648,0.0003565266,0.0005284519,0.001546415,0.001563781,0.002097868,0.0006997659,0.0008675894,0.006506664],"category_scores_gemma":[0.00781698,0.0002790369,0.000605125,0.0009350183,0.003334142,0.004025421,0.002451329,0.002772906,0.001045242],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001094682,"about_ca_system_score_gemma":0.001034657,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009271309,"about_ca_topic_score_gemma":0.0006665647,"domain_scores_codex":[0.9978218,0.0003507649,0.0001912295,0.0004175128,0.0007095924,0.0005090902],"domain_scores_gemma":[0.9954557,0.002247244,0.0004450938,0.0006202279,0.0008441387,0.0003875254],"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":[0.00005835605,0.00003631477,0.0004200386,0.00002762856,0.000002857007,0.0001462291,0.0002326626,0.001165846,0.0018772,0.9885982,0.0006063358,0.006828297],"study_design_scores_gemma":[0.00002253746,0.00006288285,0.0005014778,0.00002878657,0.000005795954,0.0001900671,0.0001529903,0.006643951,0.00409707,0.9835442,0.00472818,0.00002208322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5279249,0.001099944,0.2669479,0.002558714,0.0004605338,0.0002007188,0.00122201,0.0004296522,0.1991556],"genre_scores_gemma":[0.9647142,0.0005579358,0.02430408,0.0003770458,0.0003613197,0.0001059847,0.001109805,0.0001012025,0.008368263],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006506664,"threshold_uncertainty_score":0.0217669,"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."}}