Information on Result #506196

There is no (54, 162, 1500)-net in base 8, because the generalized Rao bound for nets shows that 8m ≥ 202 449082 125792 783883 252450 432134 177017 651525 421981 854578 545993 784194 890394 705859 928966 005119 192447 965804 591755 846970 594004 876434 014259 590773 686636 > 8162

Mode: Bound.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
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Method
1No (54, 163, 1500)-net in base 8 [i]m-Reduction