Information on Result #2156227
There is no linear OA(259, 68, F2, 30) (dual of [68, 9, 31]-code), because adding a parity check bit 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 OOA(260, 68, F2, 2, 31) (dual of [(68, 2), 76, 32]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(259, 68, F2, 2, 30) (dual of [(68, 2), 77, 31]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(259, 68, F2, 3, 30) (dual of [(68, 3), 145, 31]-NRT-code) | [i] | ||
| 4 | No linear OOA(259, 68, F2, 4, 30) (dual of [(68, 4), 213, 31]-NRT-code) | [i] | ||
| 5 | No linear OOA(259, 68, F2, 5, 30) (dual of [(68, 5), 281, 31]-NRT-code) | [i] | ||
| 6 | No linear OOA(259, 68, F2, 6, 30) (dual of [(68, 6), 349, 31]-NRT-code) | [i] | ||
| 7 | No linear OOA(259, 68, F2, 7, 30) (dual of [(68, 7), 417, 31]-NRT-code) | [i] | ||
| 8 | No linear OOA(259, 68, F2, 8, 30) (dual of [(68, 8), 485, 31]-NRT-code) | [i] | ||
| 9 | No digital (29, 59, 68)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(2119, 129, F2, 60) (dual of [129, 10, 61]-code) | [i] | Residual Code | |