Information on Result #552219
There is no linear OOA(2153, 155, F2, 2, 81) (dual of [(155, 2), 157, 82]-NRT-code), because 9 step m-reduction would yield linear OA(2144, 155, F2, 72) (dual of [155, 11, 73]-code), but
- residual code [i] would yield linear OA(272, 82, F2, 36) (dual of [82, 10, 37]-code), but
- adding a parity check bit [i] would yield linear OA(273, 83, F2, 37) (dual of [83, 10, 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(2153, 155, F2, 3, 81) (dual of [(155, 3), 312, 82]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2153, 155, F2, 4, 81) (dual of [(155, 4), 467, 82]-NRT-code) | [i] | ||
| 3 | No linear OOA(2153, 155, F2, 5, 81) (dual of [(155, 5), 622, 82]-NRT-code) | [i] | ||
| 4 | No linear OOA(2153, 155, F2, 6, 81) (dual of [(155, 6), 777, 82]-NRT-code) | [i] | ||
| 5 | No linear OOA(2153, 155, F2, 7, 81) (dual of [(155, 7), 932, 82]-NRT-code) | [i] | ||
| 6 | No linear OOA(2153, 155, F2, 8, 81) (dual of [(155, 8), 1087, 82]-NRT-code) | [i] | ||