Information on Result #715001
Linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−2,−1,…,9}, and designed minimum distance d ≥ |I|+1 = 13
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(831, 326, F8, 2, 12) (dual of [(326, 2), 621, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(831, 326, F8, 3, 12) (dual of [(326, 3), 947, 13]-NRT-code) | [i] | ||
| 3 | Digital (19, 31, 326)-net over F8 | [i] | ||
| 4 | Linear OA(836, 528, F8, 12) (dual of [528, 492, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(833, 523, F8, 12) (dual of [523, 490, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(832, 521, F8, 12) (dual of [521, 489, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(835, 521, F8, 13) (dual of [521, 486, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(839, 525, F8, 14) (dual of [525, 486, 15]-code) | [i] | ✔ | |