Information on Result #715055
Linear OA(834, 511, F8, 13) (dual of [511, 477, 14]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,8}, and designed minimum distance d ≥ |I|+1 = 14
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(834, 353, F8, 2, 13) (dual of [(353, 2), 672, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(834, 353, F8, 3, 13) (dual of [(353, 3), 1025, 14]-NRT-code) | [i] | ||
| 3 | Digital (21, 34, 353)-net over F8 | [i] | ||
| 4 | Linear OA(840, 535, F8, 13) (dual of [535, 495, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(839, 531, F8, 13) (dual of [531, 492, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(841, 530, F8, 14) (dual of [530, 489, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(845, 534, F8, 15) (dual of [534, 489, 16]-code) | [i] | ✔ | |