Information on Result #552121
There is no linear OOA(2149, 175, F2, 2, 72) (dual of [(175, 2), 201, 73]-NRT-code), because 2 step m-reduction would yield linear OA(2147, 175, F2, 70) (dual of [175, 28, 71]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2148, 176, F2, 70) (dual of [176, 28, 71]-code), but
- adding a parity check bit [i] would yield linear OA(2149, 177, F2, 71) (dual of [177, 28, 72]-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(2149, 175, F2, 3, 72) (dual of [(175, 3), 376, 73]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2149, 175, F2, 4, 72) (dual of [(175, 4), 551, 73]-NRT-code) | [i] | ||
| 3 | No linear OOA(2149, 175, F2, 5, 72) (dual of [(175, 5), 726, 73]-NRT-code) | [i] | ||
| 4 | No linear OOA(2149, 175, F2, 6, 72) (dual of [(175, 6), 901, 73]-NRT-code) | [i] | ||
| 5 | No linear OOA(2149, 175, F2, 7, 72) (dual of [(175, 7), 1076, 73]-NRT-code) | [i] | ||
| 6 | No linear OOA(2149, 175, F2, 8, 72) (dual of [(175, 8), 1251, 73]-NRT-code) | [i] | ||