Information on Result #599313
There is no digital (86, 242, 307)-net over F3, because extracting embedded orthogonal array would yield linear OA(3242, 307, F3, 156) (dual of [307, 65, 157]-code), but
- residual code [i] would yield OA(386, 150, S3, 52), but
- the linear programming bound shows that M ≥ 45 375615 652569 081636 015380 745443 018934 304283 021352 151426 389016 725239 072381 376675 411874 549461 398308 950056 387797 392972 439185 682172 765235 884412 994552 176933 079882 633952 671620 169056 236224 985173 977239 215077 245807 038742 365477 871088 318198 915432 / 411 139499 203801 445198 183759 841057 049789 374017 649665 468263 260057 814101 412003 776038 812811 220305 805521 531916 470583 053309 910406 226958 416674 671701 921653 986187 454828 049325 832567 286120 869274 575255 729375 > 386 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (86, 243, 307)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (86, 244, 307)-net over F3 | [i] | ||