Information on Result #548032
There is no linear OA(1615, 76, F16, 14) (dual of [76, 61, 15]-code), because construction Y1 would yield
- linear OA(1614, 18, F16, 14) (dual of [18, 4, 15]-code or 18-arc in PG(13,16)), but
- OA(1661, 76, S16, 58), but
- discarding factors would yield OA(1661, 65, S16, 58), but
- the linear programming bound shows that M ≥ 159214 122701 309768 707410 104386 945873 298246 228915 255775 554254 178010 880553 254912 / 5487 > 1661 [i]
- discarding factors would yield OA(1661, 65, S16, 58), but
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(1616, 77, F16, 15) (dual of [77, 61, 16]-code) | [i] | Truncation | |