Information on Result #2156223
There is no linear OA(257, 97, F2, 26) (dual of [97, 40, 27]-code), because adding a parity check bit would yield linear OA(258, 98, F2, 27) (dual of [98, 40, 28]-code), but
- “Bro†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(258, 97, F2, 2, 27) (dual of [(97, 2), 136, 28]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(257, 97, F2, 2, 26) (dual of [(97, 2), 137, 27]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(257, 97, F2, 3, 26) (dual of [(97, 3), 234, 27]-NRT-code) | [i] | ||
| 4 | No linear OOA(257, 97, F2, 4, 26) (dual of [(97, 4), 331, 27]-NRT-code) | [i] | ||
| 5 | No linear OOA(257, 97, F2, 5, 26) (dual of [(97, 5), 428, 27]-NRT-code) | [i] | ||
| 6 | No linear OOA(257, 97, F2, 6, 26) (dual of [(97, 6), 525, 27]-NRT-code) | [i] | ||
| 7 | No linear OOA(257, 97, F2, 7, 26) (dual of [(97, 7), 622, 27]-NRT-code) | [i] | ||
| 8 | No linear OOA(257, 97, F2, 8, 26) (dual of [(97, 8), 719, 27]-NRT-code) | [i] | ||
| 9 | No digital (31, 57, 97)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |