Information on Result #599155
There is no digital (66, 180, 279)-net over F3, because extracting embedded orthogonal array would yield linear OA(3180, 279, F3, 114) (dual of [279, 99, 115]-code), but
- residual code [i] would yield OA(366, 164, S3, 38), but
- the linear programming bound shows that M ≥ 28 879890 598693 981767 858904 700078 804544 010519 089400 319761 254528 195493 544126 197753 947774 003837 783343 880912 553452 712668 486144 993991 575869 777324 277760 / 903400 545294 735183 153424 590171 611234 670868 730655 231672 024594 670239 604239 180914 860835 373684 382446 610001 352164 878597 > 366 [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 (66, 181, 279)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (66, 182, 279)-net over F3 | [i] | ||