Information on Result #725595
Linear OA(279, 728, F27, 5) (dual of [728, 719, 6]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(279, 458, F27, 2, 5) (dual of [(458, 2), 907, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (4, 9, 458)-net over F27 | [i] | ||
| 3 | Linear OA(279, 732, F27, 5) (dual of [732, 723, 6]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2711, 732, F27, 6) (dual of [732, 721, 7]-code) | [i] | ✔ | |