Information on Result #716002
Linear OA(8100, 511, F8, 38) (dual of [511, 411, 39]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {38,39,…,75}, and designed minimum distance d ≥ |I|+1 = 39
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 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 OA(8108, 540, F8, 38) (dual of [540, 432, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8129, 555, F8, 44) (dual of [555, 426, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(8128, 551, F8, 44) (dual of [551, 423, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(8124, 542, F8, 44) (dual of [542, 418, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(8125, 545, F8, 44) (dual of [545, 420, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(8123, 540, F8, 44) (dual of [540, 417, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(8140, 551, F8, 49) (dual of [551, 411, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(8144, 555, F8, 50) (dual of [555, 411, 51]-code) | [i] | ✔ | |