Information on Result #550619
There is no linear OOA(235, 40, F2, 2, 19) (dual of [(40, 2), 45, 20]-NRT-code), because 3 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(235, 40, F2, 3, 19) (dual of [(40, 3), 85, 20]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(235, 40, F2, 4, 19) (dual of [(40, 4), 125, 20]-NRT-code) | [i] | ||
| 3 | No linear OOA(235, 40, F2, 5, 19) (dual of [(40, 5), 165, 20]-NRT-code) | [i] | ||
| 4 | No linear OOA(235, 40, F2, 6, 19) (dual of [(40, 6), 205, 20]-NRT-code) | [i] | ||
| 5 | No linear OOA(235, 40, F2, 7, 19) (dual of [(40, 7), 245, 20]-NRT-code) | [i] | ||
| 6 | No linear OOA(235, 40, F2, 8, 19) (dual of [(40, 8), 285, 20]-NRT-code) | [i] | ||