Details for entry $$A_8(10,4)$$

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Lower bounds

• improved_cdc_lower_bound ( ) : 1153247488967549442
• layer_construction ( ) : 1153247488967549442
• cdc_lower_bound ( ) : 1153247488967549440
• echelon_ferrers (
optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 2, 7, 8), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 1, 4, 5, 8), (0, 1, 4, 6, 7), (0, 1, 9), (0, 2, 3, 4, 5, 6, 7, 8, 9), (0, 2, 3, 5, 8), (0, 2, 3, 6, 7), (0, 2, 4, 5, 7), (0, 2, 4, 6, 8), (0, 3, 4, 5, 6), (0, 3, 4, 7, 8), (0, 5, 6, 7, 8), (1, 2, 3, 4, 5, 6, 7), (1, 2, 3, 5, 9), (1, 2, 3, 6, 7, 8, 9), (1, 2, 4, 5, 7, 8, 9), (1, 2, 4, 6, 9), (1, 3, 4, 5, 6, 8, 9), (1, 3, 4, 7, 9), (1, 5, 6, 7, 9), (2, 3, 4, 8, 9), (2, 5, 6, 8, 9), (2, 7, 9), (3, 5, 7, 8, 9), (3, 6, 9), (4, 5, 9), (4, 6, 7, 8, 9), (8,)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 1153207937207113472 with optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 2, 7, 8), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 1, 4, 5, 8), (0, 1, 4, 6, 7), (0, 1, 9), (0, 2, 3, 4, 5, 6, 7, 8, 9), (0, 2, 3, 5, 8), (0, 2, 3, 6, 7), (0, 2, 4, 5, 7), (0, 2, 4, 6, 8), (0, 3, 4, 5, 6), (0, 3, 4, 7, 8), (0, 5, 6, 7, 8), (1, 2, 3, 4, 5, 6, 7), (1, 2, 3, 5, 9), (1, 2, 3, 6, 7, 8, 9), (1, 2, 4, 5, 7, 8, 9), (1, 2, 4, 6, 9), (1, 3, 4, 5, 6, 8, 9), (1, 3, 4, 7, 9), (1, 5, 6, 7, 9), (2, 3, 4, 8, 9), (2, 5, 6, 8, 9), (2, 7, 9), (3, 5, 7, 8, 9), (3, 6, 9), (4, 5, 9), (4, 6, 7, 8, 9), (8,)])
) : 1153207937207113472
• ef_computation (
[(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 2, 3, 6, 7), (0, 2, 3, 5, 8), (0, 3, 4, 5, 6), (0, 1, 2, 7, 8), (0, 1, 4, 6, 7), (0, 1, 4, 5, 8), (0, 2, 4, 5, 7), (1, 2, 3, 5, 9), (0, 2, 4, 6, 8), (1, 2, 4, 6, 9), (0, 3, 4, 7, 8), (1, 2, 3, 4, 5, 6, 7), (0, 1, 9), (1, 3, 4, 7, 9), (2, 3, 4, 8, 9), (0, 5, 6, 7, 8), (1, 5, 6, 7, 9), (1, 2, 3, 6, 7, 8, 9), (4, 5, 9), (2, 5, 6, 8, 9), (3, 6, 9), (1, 2, 4, 5, 7, 8, 9), (2, 7, 9), (1, 3, 4, 5, 6, 8, 9), (3, 5, 7, 8, 9), (0, 2, 3, 4, 5, 6, 7, 8, 9), 8, (4, 6, 7, 8, 9)]
) : 1153207937207113435
• cdc_average_argument ( ) : 618471101578
• gilbert_varshamov ( ) : 185477935040
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Do you have better bounds?

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