Information on Result #493754

There is no (57, 213, 378)-net in base 4, because the generalized Rao bound for nets shows that 4m ≥ 192 523968 013779 794296 351827 005194 500005 779641 483465 332272 102742 227672 262297 753380 288085 896081 730975 642495 413503 404649 154519 988440 > 4213

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
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Method
1No (57, 214, 378)-net in base 4 [i]m-Reduction