Information on Result #715295
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 = {53,54,…,73}, 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(865, 536, F8, 22) (dual of [536, 471, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(871, 527, F8, 26) (dual of [527, 456, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(870, 524, F8, 26) (dual of [524, 454, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(876, 532, F8, 27) (dual of [532, 456, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(875, 528, F8, 27) (dual of [528, 453, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(880, 536, F8, 28) (dual of [536, 456, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(875, 531, F8, 27) (dual of [531, 456, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(874, 528, F8, 27) (dual of [528, 454, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(884, 540, F8, 29) (dual of [540, 456, 30]-code) | [i] | ✔ | |