Information on Result #59702
There is no OA(454, 129, S4, 37), because the linear programming bound shows that M ≥ 109 951098 397829 332336 284728 003022 152431 672399 031028 523197 768001 879521 814905 484058 086588 022784 000000 / 328974 594178 269164 864154 562133 043701 895580 669743 951599 524746 631921 > 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(454, 129, S4, 2, 37) | [i] | Depth Reduction | |
| 2 | No OOA(454, 129, S4, 3, 37) | [i] | ||
| 3 | No (17, 54, 129)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4202, 278, F4, 148) (dual of [278, 76, 149]-code) | [i] | Residual Code | |