Information on Result #553021
There is no linear OOA(2182, 175, F2, 2, 100) (dual of [(175, 2), 168, 101]-NRT-code), because 16 step m-reduction would yield linear OA(2166, 175, F2, 84) (dual of [175, 9, 85]-code), but
- residual code [i] would yield linear OA(282, 90, F2, 42) (dual of [90, 8, 43]-code), but
- adding a parity check bit [i] would yield linear OA(283, 91, F2, 43) (dual of [91, 8, 44]-code), but
- “DMa†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(283, 91, F2, 43) (dual of [91, 8, 44]-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(2182, 175, F2, 3, 100) (dual of [(175, 3), 343, 101]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2182, 175, F2, 4, 100) (dual of [(175, 4), 518, 101]-NRT-code) | [i] | ||
| 3 | No linear OOA(2182, 175, F2, 5, 100) (dual of [(175, 5), 693, 101]-NRT-code) | [i] | ||
| 4 | No linear OOA(2182, 175, F2, 6, 100) (dual of [(175, 6), 868, 101]-NRT-code) | [i] | ||
| 5 | No linear OOA(2182, 175, F2, 7, 100) (dual of [(175, 7), 1043, 101]-NRT-code) | [i] | ||
| 6 | No linear OOA(2182, 175, F2, 8, 100) (dual of [(175, 8), 1218, 101]-NRT-code) | [i] | ||