Information on Result #550773
There is no linear OOA(260, 68, F2, 2, 31) (dual of [(68, 2), 76, 32]-NRT-code), because 1 step m-reduction would yield linear OA(259, 68, F2, 30) (dual of [68, 9, 31]-code), but
- adding a parity check bit [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-code), but
- “BGV†bound on codes from Brouwer’s database [i]
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(260, 68, F2, 3, 31) (dual of [(68, 3), 144, 32]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(260, 68, F2, 4, 31) (dual of [(68, 4), 212, 32]-NRT-code) | [i] | ||
| 3 | No linear OOA(260, 68, F2, 5, 31) (dual of [(68, 5), 280, 32]-NRT-code) | [i] | ||
| 4 | No linear OOA(260, 68, F2, 6, 31) (dual of [(68, 6), 348, 32]-NRT-code) | [i] | ||
| 5 | No linear OOA(260, 68, F2, 7, 31) (dual of [(68, 7), 416, 32]-NRT-code) | [i] | ||
| 6 | No linear OOA(260, 68, F2, 8, 31) (dual of [(68, 8), 484, 32]-NRT-code) | [i] | ||