Information on Result #551870
There is no linear OOA(2137, 140, F2, 2, 72) (dual of [(140, 2), 143, 73]-NRT-code), because 6 step m-reduction would yield linear OA(2131, 140, F2, 66) (dual of [140, 9, 67]-code), but
- residual code [i] would yield linear OA(265, 73, F2, 33) (dual of [73, 8, 34]-code), but
- “BJV†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(2137, 140, F2, 3, 72) (dual of [(140, 3), 283, 73]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2137, 140, F2, 4, 72) (dual of [(140, 4), 423, 73]-NRT-code) | [i] | ||
| 3 | No linear OOA(2137, 140, F2, 5, 72) (dual of [(140, 5), 563, 73]-NRT-code) | [i] | ||
| 4 | No linear OOA(2137, 140, F2, 6, 72) (dual of [(140, 6), 703, 73]-NRT-code) | [i] | ||
| 5 | No linear OOA(2137, 140, F2, 7, 72) (dual of [(140, 7), 843, 73]-NRT-code) | [i] | ||
| 6 | No linear OOA(2137, 140, F2, 8, 72) (dual of [(140, 8), 983, 73]-NRT-code) | [i] | ||