Information on Result #547408
There is no linear OA(4236, 332, F4, 172) (dual of [332, 96, 173]-code), because residual code would yield OA(464, 159, S4, 43), but
- the linear programming bound shows that M ≥ 45270 819771 373261 134814 974786 535179 781633 219686 501979 035125 061347 877742 643588 123815 870907 832622 000802 701749 559691 837440 / 132 156573 038196 016753 662455 730323 092222 536469 928086 508825 109263 446128 015973 837189 > 464 [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(4237, 333, F4, 173) (dual of [333, 96, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4238, 334, F4, 174) (dual of [334, 96, 175]-code) | [i] | ||
| 3 | No linear OA(4239, 335, F4, 175) (dual of [335, 96, 176]-code) | [i] | ||
| 4 | No linear OOA(4237, 332, F4, 2, 173) (dual of [(332, 2), 427, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4238, 332, F4, 2, 174) (dual of [(332, 2), 426, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4239, 332, F4, 2, 175) (dual of [(332, 2), 425, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4236, 332, F4, 2, 172) (dual of [(332, 2), 428, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4236, 332, F4, 3, 172) (dual of [(332, 3), 760, 173]-NRT-code) | [i] | ||
| 9 | No digital (64, 236, 332)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |