Information on Result #550757
There is no linear OOA(258, 97, F2, 2, 27) (dual of [(97, 2), 136, 28]-NRT-code), because 1 step m-reduction would yield linear OA(257, 97, F2, 26) (dual of [97, 40, 27]-code), but
- adding a parity check bit [i] 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.
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, 3, 27) (dual of [(97, 3), 233, 28]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(258, 97, F2, 4, 27) (dual of [(97, 4), 330, 28]-NRT-code) | [i] | ||
| 3 | No linear OOA(258, 97, F2, 5, 27) (dual of [(97, 5), 427, 28]-NRT-code) | [i] | ||
| 4 | No linear OOA(258, 97, F2, 6, 27) (dual of [(97, 6), 524, 28]-NRT-code) | [i] | ||
| 5 | No linear OOA(258, 97, F2, 7, 27) (dual of [(97, 7), 621, 28]-NRT-code) | [i] | ||
| 6 | No linear OOA(258, 97, F2, 8, 27) (dual of [(97, 8), 718, 28]-NRT-code) | [i] | ||