Information on Result #553519
There is no linear OOA(2198, 192, F2, 2, 108) (dual of [(192, 2), 186, 109]-NRT-code), because 16 step m-reduction would yield linear OA(2182, 192, F2, 92) (dual of [192, 10, 93]-code), but
- residual code [i] would yield linear OA(290, 99, F2, 46) (dual of [99, 9, 47]-code), but
- adding a parity check bit [i] would yield linear OA(291, 100, F2, 47) (dual of [100, 9, 48]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(291, 100, F2, 47) (dual of [100, 9, 48]-code), but
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(2198, 192, F2, 3, 108) (dual of [(192, 3), 378, 109]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2198, 192, F2, 4, 108) (dual of [(192, 4), 570, 109]-NRT-code) | [i] | ||
| 3 | No linear OOA(2198, 192, F2, 5, 108) (dual of [(192, 5), 762, 109]-NRT-code) | [i] | ||
| 4 | No linear OOA(2198, 192, F2, 6, 108) (dual of [(192, 6), 954, 109]-NRT-code) | [i] | ||
| 5 | No linear OOA(2198, 192, F2, 7, 108) (dual of [(192, 7), 1146, 109]-NRT-code) | [i] | ||
| 6 | No linear OOA(2198, 192, F2, 8, 108) (dual of [(192, 8), 1338, 109]-NRT-code) | [i] | ||