Information on Result #553232
There is no linear OOA(2189, 183, F2, 2, 103) (dual of [(183, 2), 177, 104]-NRT-code), because 15 step m-reduction would yield linear OA(2174, 183, F2, 88) (dual of [183, 9, 89]-code), but
- residual code [i] would yield linear OA(286, 94, F2, 44) (dual of [94, 8, 45]-code), but
- adding a parity check bit [i] would yield linear OA(287, 95, F2, 45) (dual of [95, 8, 46]-code), but
- “DHM†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(287, 95, F2, 45) (dual of [95, 8, 46]-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(2189, 183, F2, 3, 103) (dual of [(183, 3), 360, 104]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2189, 183, F2, 4, 103) (dual of [(183, 4), 543, 104]-NRT-code) | [i] | ||
| 3 | No linear OOA(2189, 183, F2, 5, 103) (dual of [(183, 5), 726, 104]-NRT-code) | [i] | ||
| 4 | No linear OOA(2189, 183, F2, 6, 103) (dual of [(183, 6), 909, 104]-NRT-code) | [i] | ||
| 5 | No linear OOA(2189, 183, F2, 7, 103) (dual of [(183, 7), 1092, 104]-NRT-code) | [i] | ||
| 6 | No linear OOA(2189, 183, F2, 8, 103) (dual of [(183, 8), 1275, 104]-NRT-code) | [i] | ||