Information on Result #61026

There is no OA(727, 69, S7, 23), because the linear programming bound shows that M ≥ 691 947938 485240 081566 820608 940481 234739 / 10298 395243 799629 > 727

Mode: Bound.

Optimality

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

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(727, 69, S7, 2, 23) [i]Depth Reduction
2No OOA(727, 69, S7, 3, 23) [i]
3No (4, 27, 69)-net in base 7 [i]Extracting Embedded Orthogonal Array