Information on Result #57742

There is no OA(73, 9, S7, 3), because bound for OAs with index unity

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(74, 10, S7, 4) [i]Truncation
2No OA(75, 11, S7, 5) [i]
3No OA(76, 12, S7, 6) [i]
4No OOA(73, 9, S7, 2, 3) [i]Depth Reduction
5No OOA(73, 9, S7, 3, 3) [i]
6No (0, 3, 9)-net in base 7 [i]Extracting Embedded Orthogonal Array
7No 9-cap in AG(2,7) [i]Every Affine Cap Is Also a Projective Cap
8No linear OA(724, 31, F7, 21) (dual of [31, 7, 22]-code) [i]Residual Code