Details for entry \(A_2(7,4)\)

Known codes

• 256 LMRD KoetterKschischang2008, Gabidulin1985 file
• 32 LMRD KoetterKschischang2008, Gabidulin1985 file

Lower bounds

• improved_cdc_lower_bound ( ) : 334
• layer_construction ( ) : 334
• cdc_lower_bound ( ) : 333
• echelon_ferrers ( show
  optimal [(), (0, 1, 2, 3), (0, 1, 4, 5), (0, 2, 4, 6), (0, 3, 5, 6), (1, 2, 5, 6), (1, 3, 4, 6), (2, 3, 4, 5)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 290 with optimal [(), (0, 1, 2, 3), (0, 1, 4, 5), (0, 2, 4, 6), (0, 3, 5, 6), (1, 2, 5, 6), (1, 3, 4, 6), (2, 3, 4, 5)])
  ) : 290
• ef_computation ( show
  [(0, 1, 2), (1, 3, 4), (0, 3, 5), (0, 1, 4, 5, 6), (2, 3, 6), (2, 4, 5)]
  ) : 290
• cdc_average_argument ( ) : 31
• gilbert_varshamov ( ) : 16
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Upper bounds

• heinlein_ihringer_semidefinite_programming ( ) : 388
• special_cases_upper_notderived ( ) : 407
• relax_d ( ) : 776
• improved_cdc_upper_bound ( ) : 846
• cdc_upper_bound ( ) : 848
• trivial_3 ( ) : 29212

Do you have better bounds?