Information on Result #548316
There is no linear OA(2119, 129, F2, 60) (dual of [129, 10, 61]-code), because residual code would yield linear OA(259, 68, F2, 30) (dual of [68, 9, 31]-code), but
- adding a parity check bit [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-code), but
- “BGV†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(2120, 130, F2, 61) (dual of [130, 10, 62]-code) | [i] | Truncation | |
| 2 | No linear OOA(2120, 129, F2, 2, 61) (dual of [(129, 2), 138, 62]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2121, 129, F2, 2, 62) (dual of [(129, 2), 137, 63]-NRT-code) | [i] | ||
| 4 | No linear OOA(2122, 129, F2, 2, 63) (dual of [(129, 2), 136, 64]-NRT-code) | [i] | ||
| 5 | No linear OOA(2119, 129, F2, 2, 60) (dual of [(129, 2), 139, 61]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2119, 129, F2, 3, 60) (dual of [(129, 3), 268, 61]-NRT-code) | [i] | ||
| 7 | No linear OOA(2119, 129, F2, 4, 60) (dual of [(129, 4), 397, 61]-NRT-code) | [i] | ||
| 8 | No linear OOA(2119, 129, F2, 5, 60) (dual of [(129, 5), 526, 61]-NRT-code) | [i] | ||
| 9 | No linear OOA(2119, 129, F2, 6, 60) (dual of [(129, 6), 655, 61]-NRT-code) | [i] | ||
| 10 | No linear OOA(2119, 129, F2, 7, 60) (dual of [(129, 7), 784, 61]-NRT-code) | [i] | ||
| 11 | No linear OOA(2119, 129, F2, 8, 60) (dual of [(129, 8), 913, 61]-NRT-code) | [i] | ||
| 12 | No digital (59, 119, 129)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 13 | No linear OA(2239, 250, F2, 120) (dual of [250, 11, 121]-code) | [i] | Residual Code | |