Information on Result #678888
Linear OA(4239, 16385, F4, 45) (dual of [16385, 16146, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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 OOA(4239, 12063, F4, 2, 45) (dual of [(12063, 2), 23887, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4239, 12063, F4, 3, 45) (dual of [(12063, 3), 35950, 46]-NRT-code) | [i] | ||
| 3 | Digital (194, 239, 12063)-net over F4 | [i] | ||
| 4 | Linear OA(4254, 16400, F4, 47) (dual of [16400, 16146, 48]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4256, 16391, F4, 49) (dual of [16391, 16135, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(4257, 16402, F4, 49) (dual of [16402, 16145, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(4258, 16404, F4, 49) (dual of [16404, 16146, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(4256, 16402, F4, 48) (dual of [16402, 16146, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(4240, 16400, F4, 45) (dual of [16400, 16160, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(4244, 16418, F4, 45) (dual of [16418, 16174, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(4242, 16406, F4, 44) (dual of [16406, 16164, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(4255, 16443, F4, 45) (dual of [16443, 16188, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(4252, 16440, F4, 44) (dual of [16440, 16188, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(4258, 16450, F4, 45) (dual of [16450, 16192, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(4260, 16462, F4, 44) (dual of [16462, 16202, 45]-code) | [i] | ✔ | |