Information on Result #547521
There is no linear OA(555, 59, F5, 45) (dual of [59, 4, 46]-code), because residual code would yield linear OA(510, 13, F5, 9) (dual of [13, 3, 10]-code), but
- 1 times truncation [i] would yield linear OA(59, 12, F5, 8) (dual of [12, 3, 9]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(556, 60, F5, 46) (dual of [60, 4, 47]-code) | [i] | Truncation | |
| 2 | No linear OA(557, 61, F5, 47) (dual of [61, 4, 48]-code) | [i] | ||
| 3 | No linear OA(558, 62, F5, 48) (dual of [62, 4, 49]-code) | [i] | ||
| 4 | No linear OA(559, 63, F5, 49) (dual of [63, 4, 50]-code) | [i] | ||
| 5 | No linear OOA(555, 59, F5, 2, 45) (dual of [(59, 2), 63, 46]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(555, 59, F5, 3, 45) (dual of [(59, 3), 122, 46]-NRT-code) | [i] | ||
| 7 | No linear OA(556, 65, F5, 45) (dual of [65, 9, 46]-code) | [i] | Construction Y1 (Bound) | |