Information on Result #59701
There is no OA(453, 115, S4, 37), because the linear programming bound shows that M ≥ 2228 884102 741419 171563 165834 542871 015642 627518 277715 182772 794960 776775 241817 326574 230159 456820 575580 079378 861618 772055 855779 020800 / 26 684822 592939 485951 140315 267760 030177 231474 922984 007903 231959 034642 349539 832878 020392 293180 805179 > 453
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(453, 115, S4, 2, 37) | [i] | Depth Reduction | |
| 2 | No OOA(453, 115, S4, 3, 37) | [i] | ||
| 3 | No (16, 53, 115)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4201, 264, F4, 148) (dual of [264, 63, 149]-code) | [i] | Residual Code | |