Information on Result #548309
There is no linear OA(2106, 115, F2, 54) (dual of [115, 9, 55]-code), because residual code would yield linear OA(252, 60, F2, 27) (dual of [60, 8, 28]-code), but
- “BJV†bound on codes from Brouwer’s database [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(2107, 116, F2, 55) (dual of [116, 9, 56]-code) | [i] | Truncation | |
| 2 | No linear OOA(2106, 115, F2, 2, 54) (dual of [(115, 2), 124, 55]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(2106, 115, F2, 3, 54) (dual of [(115, 3), 239, 55]-NRT-code) | [i] | ||
| 4 | No linear OOA(2106, 115, F2, 4, 54) (dual of [(115, 4), 354, 55]-NRT-code) | [i] | ||
| 5 | No linear OOA(2106, 115, F2, 5, 54) (dual of [(115, 5), 469, 55]-NRT-code) | [i] | ||
| 6 | No linear OOA(2106, 115, F2, 6, 54) (dual of [(115, 6), 584, 55]-NRT-code) | [i] | ||
| 7 | No linear OOA(2106, 115, F2, 7, 54) (dual of [(115, 7), 699, 55]-NRT-code) | [i] | ||
| 8 | No linear OOA(2106, 115, F2, 8, 54) (dual of [(115, 8), 814, 55]-NRT-code) | [i] | ||
| 9 | No linear OA(2214, 224, F2, 108) (dual of [224, 10, 109]-code) | [i] | Residual Code | |