Information on Result #550610
There is no linear OOA(233, 40, F2, 2, 17) (dual of [(40, 2), 47, 18]-NRT-code), because 1 step m-reduction would yield linear OA(232, 40, F2, 16) (dual of [40, 8, 17]-code), but
- adding a parity check bit [i] would yield linear OA(233, 41, F2, 17) (dual of [41, 8, 18]-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(233, 40, F2, 3, 17) (dual of [(40, 3), 87, 18]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(233, 40, F2, 4, 17) (dual of [(40, 4), 127, 18]-NRT-code) | [i] | ||
| 3 | No linear OOA(233, 40, F2, 5, 17) (dual of [(40, 5), 167, 18]-NRT-code) | [i] | ||
| 4 | No linear OOA(233, 40, F2, 6, 17) (dual of [(40, 6), 207, 18]-NRT-code) | [i] | ||
| 5 | No linear OOA(233, 40, F2, 7, 17) (dual of [(40, 7), 247, 18]-NRT-code) | [i] | ||
| 6 | No linear OOA(233, 40, F2, 8, 17) (dual of [(40, 8), 287, 18]-NRT-code) | [i] | ||