Information on Result #548405
There is no linear OA(2217, 227, F2, 110) (dual of [227, 10, 111]-code), because residual code would yield linear OA(2107, 116, F2, 55) (dual of [116, 9, 56]-code), but
- 1 times truncation [i] would yield linear OA(2106, 115, F2, 54) (dual of [115, 9, 55]-code), but
- residual code [i] would yield linear OA(252, 60, F2, 27) (dual of [60, 8, 28]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(252, 60, F2, 27) (dual of [60, 8, 28]-code), 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.
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(2218, 228, F2, 111) (dual of [228, 10, 112]-code) | [i] | Truncation | |