{"id":"W2372168189","doi":"","title":"On the XOR Branch Numbers of the Transformations About Modulo 2~n Addition and Modulo 2 Addition","year":2011,"lang":"en","type":"article","venue":"","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"CAE (Canada)","funders":"","keywords":"Modulo; Finite field; XOR gate; Cipher; Primitive root modulo n; Mathematics; Discrete mathematics; Computer science; Differential cryptanalysis; Field (mathematics); Cryptanalysis; Cryptography; Arithmetic; Algorithm; Pure mathematics; Logic gate","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":[0.0002297168,0.00008443529,0.000069352,0.00005340962,0.0002535766,0.00003873406,0.0004191717,0.00003651447,0.0005667779],"category_scores_gemma":[0.00001656755,0.00004699637,0.00008880661,0.0003202081,0.0001147368,0.0003756787,0.00003746547,0.00009673064,0.00001327332],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006101458,"about_ca_system_score_gemma":0.00001182394,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002450141,"about_ca_topic_score_gemma":0.0000284749,"domain_scores_codex":[0.9993365,0.00009775456,0.0001483103,0.0001408125,0.0001604532,0.0001161945],"domain_scores_gemma":[0.9993332,0.0001334057,0.00006208901,0.0003995967,0.00004154703,0.00003016921],"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":[0.000009855237,0.00004833765,0.00002278781,0.000006327634,0.0000123389,8.245618e-8,0.002543161,0.0000152682,0.0001961079,0.9784959,0.003288206,0.01536161],"study_design_scores_gemma":[0.0004077581,0.0001708071,0.02653471,0.0001009309,0.00002291526,0.00001121893,0.0002504695,0.01172309,0.01689232,0.9414093,0.002258698,0.0002177666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3494735,0.00003075133,0.5195049,0.00188672,0.0003770812,0.0004830614,0.00009711432,0.0001653953,0.1279814],"genre_scores_gemma":[0.9984171,0.00001402668,0.0009284054,0.0005160856,0.00001520585,0.00002940748,0.00000369894,0.000003526673,0.00007253203],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6489435,"threshold_uncertainty_score":0.620582,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01536584441202339,"score_gpt":0.1828978981933808,"score_spread":0.1675320537813574,"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."}}