Information on Result #61364

There is no OA(784, 100, S7, 71), because the linear programming bound shows that M ≥ 586479 343942 250094 237706 223891 544580 901593 119460 709506 738817 911019 661869 939740 181983 / 5 014371 735568 > 784

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(785, 101, S7, 72) [i]Truncation
2No OOA(785, 100, S7, 2, 72) [i]m-Reduction for OOAs
3No OOA(784, 100, S7, 2, 71) [i]Depth Reduction
4No OOA(784, 100, S7, 3, 71) [i]
5No (13, 84, 100)-net in base 7 [i]Extracting Embedded Orthogonal Array