{"id":"W2587862547","doi":"10.3934/amc.2017002","title":"New almost perfect, odd perfect, and perfect sequences from difference balanced functions with <i>d</i>-form property","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics of Communications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Perfect power; Interleaving; Combinatorics; Complementary sequences; Property (philosophy); QAM; Discrete mathematics; Algorithm; Quadrature amplitude modulation; Decoding methods","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":[0.0004677333,0.0002771895,0.0004438028,0.0001535714,0.001014143,0.0002812351,0.003737017,0.00007386189,0.00002792856],"category_scores_gemma":[0.0002467281,0.0001935946,0.00008836904,0.0003220124,0.0008138673,0.0013779,0.0009615101,0.0002911702,0.000009927511],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003337739,"about_ca_system_score_gemma":0.0001310379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000725885,"about_ca_topic_score_gemma":0.001688469,"domain_scores_codex":[0.998418,0.0001411293,0.0004445192,0.0003971827,0.0003044656,0.0002947493],"domain_scores_gemma":[0.994225,0.0009051447,0.0004934421,0.004109094,0.0001459124,0.0001213961],"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":[0.0000637875,0.0007761478,0.01477912,0.0002586368,0.0001480773,0.000004629367,0.0112351,0.000161194,0.01635449,0.8466799,0.0001480341,0.1093909],"study_design_scores_gemma":[0.00269366,0.001225663,0.05204202,0.002982967,0.0002287984,0.00008914204,0.0009970107,0.08367741,0.002532052,0.8272712,0.02456528,0.001694799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3622189,0.01730352,0.5428477,0.002975757,0.0003713979,0.001484195,0.00009521272,0.0003840316,0.07231926],"genre_scores_gemma":[0.7985944,0.003292581,0.197585,0.00002369108,0.00002035754,0.00007979498,0.00001015566,0.00001506559,0.0003790002],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4363754,"threshold_uncertainty_score":0.789456,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02102754691703831,"score_gpt":0.2666805168844131,"score_spread":0.2456529699673748,"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."}}