Information on Result #2156198
There is no linear OA(223, 30, F2, 12) (dual of [30, 7, 13]-code), because adding a parity check bit would yield linear OA(224, 31, F2, 13) (dual of [31, 7, 14]-code), but
- “vT3†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(223, 30, F2, 2, 12) (dual of [(30, 2), 37, 13]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(223, 30, F2, 3, 12) (dual of [(30, 3), 67, 13]-NRT-code) | [i] | ||
| 3 | No linear OOA(223, 30, F2, 4, 12) (dual of [(30, 4), 97, 13]-NRT-code) | [i] | ||
| 4 | No linear OOA(223, 30, F2, 5, 12) (dual of [(30, 5), 127, 13]-NRT-code) | [i] | ||
| 5 | No linear OOA(223, 30, F2, 6, 12) (dual of [(30, 6), 157, 13]-NRT-code) | [i] | ||
| 6 | No linear OOA(223, 30, F2, 7, 12) (dual of [(30, 7), 187, 13]-NRT-code) | [i] | ||
| 7 | No linear OOA(223, 30, F2, 8, 12) (dual of [(30, 8), 217, 13]-NRT-code) | [i] | ||
| 8 | No digital (11, 23, 30)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |