Information on Result #613250
Linear OA(4253, 16385, F4, 49) (dual of [16385, 16132, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound)
Mode: Constructive and 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 | Linear OA(4252, 16384, F4, 48) (dual of [16384, 16132, 49]-code) | [i] | Truncation | |
| 2 | Linear OA(4254, 16400, F4, 47) (dual of [16400, 16146, 48]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(4256, 16391, F4, 49) (dual of [16391, 16135, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(4257, 16402, F4, 49) (dual of [16402, 16145, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(4258, 16404, F4, 49) (dual of [16404, 16146, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(4256, 16402, F4, 48) (dual of [16402, 16146, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(4259, 16406, F4, 48) (dual of [16406, 16147, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(4260, 16420, F4, 48) (dual of [16420, 16160, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(4258, 16418, F4, 47) (dual of [16418, 16160, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(4256, 16406, F4, 46) (dual of [16406, 16150, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(4260, 16428, F4, 46) (dual of [16428, 16168, 47]-code) | [i] | ✔ | |