Details for entry $$A_4(10,6;4)$$

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lower bounds

• ef_computation (
[(0, 1, 2, 3), (0, 4, 5, 6), (1, 4, 7, 8), (2, 5, 7, 9), (3, 6, 8, 9)]
) : 16781333
• echelon_ferrers (
optimal [(0, 1, 2, 3), (0, 5, 8, 9), (1, 6, 7, 8), (2, 4, 5, 6), (3, 4, 7, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 16781333 with optimal [(0, 1, 2, 3), (0, 4, 5, 6), (1, 4, 7, 8), (2, 5, 7, 9), (3, 6, 8, 9)])
) : 16778246
• pending_dots (
optimal [(0, 1, 2, 3), (0, 5, 7, 8), (1, 6, 8, 9), (2, 4, 5, 6), (3, 4, 7, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 16781333 with optimal [(0, 1, 2, 3), (0, 4, 5, 6), (1, 6, 8, 9), (2, 4, 7, 8), (3, 5, 7, 9)])
) : 16778246
• improved_linkage ( 4 ) : 16777473
• multicomponent ( ) : 16777473
• linkage_GLT ( 4 ) : 16777217
• lin_poly ( ) : 16777216
• sphere_covering ( ) : 47981
• graham_sloane ( ) : 1114
• trivial_1 ( ) : 0

bound for codes containing the lifted MRD code

(see EtzionSilberstein2012 and Heinlein2017 for details)
16781649

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