Information on Result #551829
There is no linear OOA(2135, 137, F2, 2, 71) (dual of [(137, 2), 139, 72]-NRT-code), because 7 step m-reduction would yield linear OA(2128, 137, F2, 64) (dual of [137, 9, 65]-code), but
- residual code [i] would yield linear OA(264, 72, F2, 32) (dual of [72, 8, 33]-code), but
- adding a parity check bit [i] would yield linear OA(265, 73, F2, 33) (dual of [73, 8, 34]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(265, 73, F2, 33) (dual of [73, 8, 34]-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(2135, 137, F2, 3, 71) (dual of [(137, 3), 276, 72]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2135, 137, F2, 4, 71) (dual of [(137, 4), 413, 72]-NRT-code) | [i] | ||
| 3 | No linear OOA(2135, 137, F2, 5, 71) (dual of [(137, 5), 550, 72]-NRT-code) | [i] | ||
| 4 | No linear OOA(2135, 137, F2, 6, 71) (dual of [(137, 6), 687, 72]-NRT-code) | [i] | ||
| 5 | No linear OOA(2135, 137, F2, 7, 71) (dual of [(137, 7), 824, 72]-NRT-code) | [i] | ||
| 6 | No linear OOA(2135, 137, F2, 8, 71) (dual of [(137, 8), 961, 72]-NRT-code) | [i] | ||