Information on Result #546792
There is no linear OA(3195, 255, F3, 126) (dual of [255, 60, 127]-code), because residual code would yield OA(369, 128, S3, 42), but
- the linear programming bound shows that M ≥ 608 001198 593304 106218 907830 686907 775076 916565 165378 554092 710276 609555 357826 501088 330911 962882 720034 814817 891444 682681 838596 665067 963409 592743 684436 157686 057509 559170 713241 809051 496946 469627 269569 367596 452422 964732 120362 943819 537136 492537 / 700063 514007 690288 493623 500405 031069 826547 171422 379027 234454 614217 062891 744996 343198 204037 257328 431813 156380 977077 721464 526397 768944 327663 331813 298588 235435 706684 439261 947914 591660 379569 272018 701709 945865 > 369 [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(3196, 256, F3, 127) (dual of [256, 60, 128]-code) | [i] | Truncation | |
| 2 | No linear OA(3197, 257, F3, 128) (dual of [257, 60, 129]-code) | [i] | ||
| 3 | No linear OOA(3196, 255, F3, 2, 127) (dual of [(255, 2), 314, 128]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3197, 255, F3, 2, 128) (dual of [(255, 2), 313, 129]-NRT-code) | [i] | ||
| 5 | No linear OOA(3195, 255, F3, 2, 126) (dual of [(255, 2), 315, 127]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3195, 255, F3, 3, 126) (dual of [(255, 3), 570, 127]-NRT-code) | [i] | ||
| 7 | No linear OOA(3195, 255, F3, 4, 126) (dual of [(255, 4), 825, 127]-NRT-code) | [i] | ||
| 8 | No linear OOA(3195, 255, F3, 5, 126) (dual of [(255, 5), 1080, 127]-NRT-code) | [i] | ||
| 9 | No digital (69, 195, 255)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |