Information on Result #715319
Linear OA(855, 511, F8, 21) (dual of [511, 456, 22]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,16}, and designed minimum distance d ≥ |I|+1 = 22
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 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(855, 407, F8, 2, 21) (dual of [(407, 2), 759, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(855, 407, F8, 3, 21) (dual of [(407, 3), 1166, 22]-NRT-code) | [i] | ||
| 3 | Digital (34, 55, 407)-net over F8 | [i] | ||
| 4 | Linear OA(861, 535, F8, 21) (dual of [535, 474, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(860, 531, F8, 21) (dual of [531, 471, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(862, 530, F8, 22) (dual of [530, 468, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(866, 534, F8, 23) (dual of [534, 468, 24]-code) | [i] | ✔ | |