Information on Result #546322
There is no linear OA(2173, 227, F2, 82) (dual of [227, 54, 83]-code), because residual code would yield OA(291, 144, S2, 41), but
- 1 times truncation [i] would yield OA(290, 143, S2, 40), but
- the linear programming bound shows that M ≥ 317300 634780 115553 893444 812307 057689 267816 890368 / 255 074823 257151 213225 > 290 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2174, 259, F2, 82) (dual of [259, 85, 83]-code) | [i] | Construction Y1 (Bound) | |