Information on Result #547276
There is no linear OA(4201, 264, F4, 148) (dual of [264, 63, 149]-code), because residual code would yield OA(453, 115, S4, 37), but
- 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 [i]
Mode: Bound (linear).
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4202, 265, F4, 149) (dual of [265, 63, 150]-code) | [i] | Truncation | |
| 2 | No linear OA(4203, 266, F4, 150) (dual of [266, 63, 151]-code) | [i] | ||
| 3 | No linear OA(4204, 267, F4, 151) (dual of [267, 63, 152]-code) | [i] | ||
| 4 | No linear OOA(4202, 264, F4, 2, 149) (dual of [(264, 2), 326, 150]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4203, 264, F4, 2, 150) (dual of [(264, 2), 325, 151]-NRT-code) | [i] | ||
| 6 | No linear OOA(4204, 264, F4, 2, 151) (dual of [(264, 2), 324, 152]-NRT-code) | [i] | ||
| 7 | No linear OOA(4201, 264, F4, 2, 148) (dual of [(264, 2), 327, 149]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4201, 264, F4, 3, 148) (dual of [(264, 3), 591, 149]-NRT-code) | [i] | ||
| 9 | No digital (53, 201, 264)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |