Information on Result #547698
There is no linear OA(2190, 269, F2, 90) (dual of [269, 79, 91]-code), because construction Y1 would yield
- linear OA(2189, 239, F2, 90) (dual of [239, 50, 91]-code), but
- residual code [i] would yield OA(299, 148, S2, 45), but
- 1 times truncation [i] would yield OA(298, 147, S2, 44), but
- the linear programming bound shows that M ≥ 386 271048 917458 443577 540946 323578 953396 125696 / 1194 549431 128209 > 298 [i]
- 1 times truncation [i] would yield OA(298, 147, S2, 44), but
- residual code [i] would yield OA(299, 148, S2, 45), but
- OA(279, 269, S2, 30), but
- discarding factors would yield OA(279, 254, S2, 30), but
- the Rao or (dual) Hamming bound shows that M ≥ 632196 113445 859821 937016 > 279 [i]
- discarding factors would yield OA(279, 254, S2, 30), 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 OA(2191, 270, F2, 91) (dual of [270, 79, 92]-code) | [i] | Truncation | |
| 2 | No linear OOA(2191, 269, F2, 2, 91) (dual of [(269, 2), 347, 92]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2190, 269, F2, 2, 90) (dual of [(269, 2), 348, 91]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2190, 269, F2, 3, 90) (dual of [(269, 3), 617, 91]-NRT-code) | [i] | ||