Information on Result #554194
There is no linear OOA(2222, 209, F2, 2, 123) (dual of [(209, 2), 196, 124]-NRT-code), because 23 step m-reduction would yield linear OA(2199, 209, F2, 100) (dual of [209, 10, 101]-code), but
- residual code [i] would yield linear OA(299, 108, F2, 50) (dual of [108, 9, 51]-code), but
- residual code [i] would yield linear OA(249, 57, F2, 25) (dual of [57, 8, 26]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(249, 57, F2, 25) (dual of [57, 8, 26]-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(2222, 209, F2, 3, 123) (dual of [(209, 3), 405, 124]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2222, 209, F2, 4, 123) (dual of [(209, 4), 614, 124]-NRT-code) | [i] | ||
| 3 | No linear OOA(2222, 209, F2, 5, 123) (dual of [(209, 5), 823, 124]-NRT-code) | [i] | ||
| 4 | No linear OOA(2222, 209, F2, 6, 123) (dual of [(209, 6), 1032, 124]-NRT-code) | [i] | ||
| 5 | No linear OOA(2222, 209, F2, 7, 123) (dual of [(209, 7), 1241, 124]-NRT-code) | [i] | ||
| 6 | No linear OOA(2222, 209, F2, 8, 123) (dual of [(209, 8), 1450, 124]-NRT-code) | [i] | ||