{"id":"W3197582521","doi":"10.4230/lipics.ccc.2018.4","title":"Lossless Dimension Expanders via Linearized Polynomials and Subspace Designs","year":2018,"lang":"en","type":"article","venue":"DR-NTU (Nanyang Technological 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; National Science Foundation","keywords":"Dimension (graph theory); Mathematics; Degree (music); Combinatorics; Subspace topology; Rank (graph theory); Finite field; Expander graph; Discrete mathematics; Mathematical analysis; Physics; Graph","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":[0.0007738266,0.0005750278,0.0004199553,0.0008275309,0.0005862461,0.00113829,0.0006300203,0.000580462,0.004377111],"category_scores_gemma":[0.003090021,0.0003551405,0.0004395263,0.0008473731,0.001459142,0.00250409,0.002481116,0.001551874,0.001680102],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007475376,"about_ca_system_score_gemma":0.000548267,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003358651,"about_ca_topic_score_gemma":0.0005244951,"domain_scores_codex":[0.9989746,0.0002711933,0.00004067971,0.0001509363,0.0003537543,0.0002087945],"domain_scores_gemma":[0.9987345,0.0005416471,0.0001423446,0.0003011493,0.0001597362,0.0001205067],"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":[0.000248941,0.00005363377,0.0005860152,0.0001085528,0.00001626837,0.0001398458,0.0003770314,0.02265836,0.01806555,0.8662863,0.003728407,0.08773112],"study_design_scores_gemma":[0.00009533187,0.0003552059,0.0004011299,0.000090248,0.00003055196,0.0004894484,0.0001668025,0.180529,0.04335285,0.7486356,0.02573743,0.0001164496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1552088,0.0008181078,0.809256,0.0006233483,0.0001174966,0.00009148895,0.0004233026,0.002203706,0.03125779],"genre_scores_gemma":[0.7885739,0.0007204543,0.1893018,0.0003862266,0.0001728564,0.0002398844,0.0004406906,0.000303701,0.01986046],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004377111,"threshold_uncertainty_score":0.01464283,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02242866294649585,"score_gpt":0.2129063584864261,"score_spread":0.1904776955399302,"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."}}