Information on Result #59673

There is no OA(451, 124, S4, 35), because the linear programming bound shows that M ≥ 691 446239 734930 013936 659131 075507 527072 529250 608218 542950 198517 596797 334894 673920 / 123 717113 118431 928293 789080 421222 899797 731711 329751 > 451

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(451, 124, S4, 2, 35) [i]Depth Reduction
2No OOA(451, 124, S4, 3, 35) [i]
3No (16, 51, 124)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4191, 265, F4, 140) (dual of [265, 74, 141]-code) [i]Residual Code