Information on Result #59728

There is no OA(454, 88, S4, 39), because the linear programming bound shows that M ≥ 388 306151 532706 712327 958115 613049 308256 005391 927015 697876 516864 / 1 038662 238351 660386 161900 190625 > 454

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(454, 88, S4, 2, 39) [i]Depth Reduction
2No OOA(454, 88, S4, 3, 39) [i]
3No (15, 54, 88)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4210, 245, F4, 156) (dual of [245, 35, 157]-code) [i]Residual Code