Information on Result #548406
There is no linear OA(2221, 230, F2, 112) (dual of [230, 9, 113]-code), because residual code would yield linear OA(2109, 117, F2, 56) (dual of [117, 8, 57]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2110, 118, F2, 56) (dual of [118, 8, 57]-code), but
- adding a parity check bit [i] would yield linear OA(2111, 119, F2, 57) (dual of [119, 8, 58]-code), but
- “DMa†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(2111, 119, F2, 57) (dual of [119, 8, 58]-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(2222, 231, F2, 113) (dual of [231, 9, 114]-code) | [i] | Truncation | |