Information on Result #716665
Linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {23,24,…,75}, and designed minimum distance d ≥ |I|+1 = 54
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8148, 542, F8, 53) (dual of [542, 394, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8147, 540, F8, 53) (dual of [540, 393, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(8168, 555, F8, 59) (dual of [555, 387, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(8167, 551, F8, 59) (dual of [551, 384, 60]-code) | [i] | ✔ | |
| 5 | Linear OA(8165, 546, F8, 59) (dual of [546, 381, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(8163, 542, F8, 59) (dual of [542, 379, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(8162, 540, F8, 59) (dual of [540, 378, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(8173, 545, F8, 62) (dual of [545, 372, 63]-code) | [i] | ✔ | |