{"id":"W4402811173","doi":"10.1109/tit.2024.3467194","title":"The Mean and Variance of the Reciprocal Merit Factor of Four Classes of Binary Sequences","year":2024,"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":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Reciprocal; Binary number; Variance (accounting); Mathematics; Statistics; Factor (programming language); Combinatorics; Computer science; Arithmetic; Linguistics","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":[0.002988265,0.0005137155,0.0006916905,0.002261542,0.0005342771,0.001782944,0.001002496,0.001186042,0.002604191],"category_scores_gemma":[0.03107191,0.0002190117,0.0004275548,0.001070379,0.002673862,0.002469555,0.0009627728,0.001041604,0.0007048136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001149545,"about_ca_system_score_gemma":0.0007389663,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004199468,"about_ca_topic_score_gemma":0.0002850672,"domain_scores_codex":[0.9982702,0.0003157566,0.0001041077,0.0005104542,0.0005944436,0.0002050373],"domain_scores_gemma":[0.9795759,0.01403647,0.00207052,0.001880039,0.001841641,0.0005953707],"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":[0.001169501,0.0001458193,0.02320335,0.0004907016,0.0001327482,0.000553016,0.0008733268,0.10505,0.03874509,0.6620352,0.004556636,0.1630447],"study_design_scores_gemma":[0.00006385552,0.0002947209,0.01971403,0.0001368718,0.00006993775,0.001717286,0.0002678381,0.5474505,0.0191888,0.4057226,0.005119803,0.0002537486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5832748,0.001800387,0.3977543,0.0009478545,0.0001654244,0.00009062774,0.0006488242,0.0005415633,0.01477633],"genre_scores_gemma":[0.968138,0.0005999555,0.02754795,0.00008822102,0.0001825002,0.0001275582,0.0005199389,0.000105585,0.00269034],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002988265,"threshold_uncertainty_score":0.01580364,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0138389309479394,"score_gpt":0.2277888549510086,"score_spread":0.2139499240030693,"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."}}