Information on Result #552078
There is no linear OOA(2147, 165, F2, 2, 73) (dual of [(165, 2), 183, 74]-NRT-code), because 1 step m-reduction would yield linear OA(2146, 165, F2, 72) (dual of [165, 19, 73]-code), but
- residual code [i] would yield linear OA(274, 92, F2, 36) (dual of [92, 18, 37]-code), but
- adding a parity check bit [i] would yield linear OA(275, 93, F2, 37) (dual of [93, 18, 38]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(275, 93, F2, 37) (dual of [93, 18, 38]-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(2147, 165, F2, 3, 73) (dual of [(165, 3), 348, 74]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2147, 165, F2, 4, 73) (dual of [(165, 4), 513, 74]-NRT-code) | [i] | ||
| 3 | No linear OOA(2147, 165, F2, 5, 73) (dual of [(165, 5), 678, 74]-NRT-code) | [i] | ||
| 4 | No linear OOA(2147, 165, F2, 6, 73) (dual of [(165, 6), 843, 74]-NRT-code) | [i] | ||
| 5 | No linear OOA(2147, 165, F2, 7, 73) (dual of [(165, 7), 1008, 74]-NRT-code) | [i] | ||
| 6 | No linear OOA(2147, 165, F2, 8, 73) (dual of [(165, 8), 1173, 74]-NRT-code) | [i] | ||