Information on Result #551889
There is no linear OOA(2138, 144, F2, 2, 71) (dual of [(144, 2), 150, 72]-NRT-code), because 3 step m-reduction would yield linear OA(2135, 144, F2, 68) (dual of [144, 9, 69]-code), but
- residual code [i] would yield linear OA(267, 75, F2, 34) (dual of [75, 8, 35]-code), but
- adding a parity check bit [i] would yield linear OA(268, 76, F2, 35) (dual of [76, 8, 36]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(268, 76, F2, 35) (dual of [76, 8, 36]-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(2138, 144, F2, 3, 71) (dual of [(144, 3), 294, 72]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2138, 144, F2, 4, 71) (dual of [(144, 4), 438, 72]-NRT-code) | [i] | ||
| 3 | No linear OOA(2138, 144, F2, 5, 71) (dual of [(144, 5), 582, 72]-NRT-code) | [i] | ||
| 4 | No linear OOA(2138, 144, F2, 6, 71) (dual of [(144, 6), 726, 72]-NRT-code) | [i] | ||
| 5 | No linear OOA(2138, 144, F2, 7, 71) (dual of [(144, 7), 870, 72]-NRT-code) | [i] | ||
| 6 | No linear OOA(2138, 144, F2, 8, 71) (dual of [(144, 8), 1014, 72]-NRT-code) | [i] | ||