{"id":"W4388579442","doi":"10.1515/spma-2023-0105","title":"Legendre pairs of lengths<i>ℓ</i>≡ 0 (mod 5)","year":2023,"lang":"en","type":"article","venue":"Special Matrices","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"Austrian Science Fund; U.S. Department of Defense","keywords":"Mathematics; Conjecture; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005215612,0.0006771526,0.0004560244,0.001162676,0.00110168,0.001155694,0.0006561921,0.0007287029,0.01536469],"category_scores_gemma":[0.003215227,0.0002793193,0.0005325376,0.0005847714,0.001225257,0.001467343,0.001113236,0.001027879,0.001338182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005097191,"about_ca_system_score_gemma":0.0003665172,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003038064,"about_ca_topic_score_gemma":0.0002966139,"domain_scores_codex":[0.9994187,0.0001179997,0.00002549923,0.0001071048,0.0001643889,0.0001662626],"domain_scores_gemma":[0.9990049,0.0003103451,0.0002496472,0.0001646502,0.0001045338,0.0001659631],"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":[0.001147952,0.0001725651,0.005570545,0.0001656143,0.00005699327,0.0009241984,0.0006144429,0.005389982,0.03838638,0.9001635,0.008284864,0.03912288],"study_design_scores_gemma":[0.0002639541,0.001101016,0.01244665,0.0001345652,0.00008810423,0.001949855,0.0009623294,0.07003369,0.06634407,0.8175538,0.02889955,0.0002224143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.9201103,0.0002180229,0.03734905,0.0005724752,0.0002240513,0.0000640057,0.0002146194,0.0004053561,0.0408421],"genre_scores_gemma":[0.9770199,0.0001015935,0.01097954,0.0002538497,0.0001854963,0.00009740631,0.0003820799,0.0001509594,0.01082912],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.01536469,"threshold_uncertainty_score":0.05139995,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01374509650744896,"score_gpt":0.233473970898371,"score_spread":0.219728874390922,"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."}}