Information on Result #716914
Linear OA(8151, 511, F8, 58) (dual of [511, 360, 59]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {16,17,…,73}, and designed minimum distance d ≥ |I|+1 = 59
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8161, 536, F8, 59) (dual of [536, 375, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8160, 532, F8, 59) (dual of [532, 372, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(8159, 528, F8, 59) (dual of [528, 369, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(8165, 540, F8, 60) (dual of [540, 375, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(8158, 527, F8, 59) (dual of [527, 369, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(8157, 524, F8, 59) (dual of [524, 367, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(8156, 522, F8, 59) (dual of [522, 366, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(8162, 531, F8, 60) (dual of [531, 369, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(8161, 528, F8, 60) (dual of [528, 367, 61]-code) | [i] | ✔ | |
| 10 | Linear OA(8160, 526, F8, 60) (dual of [526, 366, 61]-code) | [i] | ✔ | |