Information on Result #60814

There is no OA(5102, 123, S5, 79), because the linear programming bound shows that M ≥ 187995 484805 436527 043629 104100 322913 909820 870550 192173 364933 978518 820367 753505 706787 109375 / 805220 224324 162227 > 5102

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(5103, 124, S5, 80) [i]Truncation
2No OOA(5103, 123, S5, 2, 80) [i]m-Reduction for OOAs
3No OOA(5102, 123, S5, 2, 79) [i]Depth Reduction
4No OOA(5102, 123, S5, 3, 79) [i]
5No (23, 102, 123)-net in base 5 [i]Extracting Embedded Orthogonal Array