Information on Result #61288

There is no OA(762, 75, S7, 53), because the linear programming bound shows that M ≥ 1973 331294 291885 342482 074010 387060 867505 270283 381542 221967 639077 / 65958 050304 > 762

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 OA(763, 76, S7, 54) [i]Truncation
2No OOA(763, 75, S7, 2, 54) [i]m-Reduction for OOAs
3No OOA(762, 75, S7, 2, 53) [i]Depth Reduction
4No OOA(762, 75, S7, 3, 53) [i]
5No (9, 62, 75)-net in base 7 [i]Extracting Embedded Orthogonal Array