Information on Result #716783
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 = {−8,−7,…,49}, 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(8171, 567, F8, 58) (dual of [567, 396, 59]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8170, 562, F8, 58) (dual of [562, 392, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(8168, 557, F8, 58) (dual of [557, 389, 59]-code) | [i] | ✔ | |
| 4 | Linear OA(8170, 563, F8, 58) (dual of [563, 393, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(8168, 558, F8, 58) (dual of [558, 390, 59]-code) | [i] | ✔ | |
| 6 | Linear OA(8166, 553, F8, 58) (dual of [553, 387, 59]-code) | [i] | ✔ | |
| 7 | Linear OA(8164, 548, F8, 58) (dual of [548, 384, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(8167, 548, F8, 59) (dual of [548, 381, 60]-code) | [i] | ✔ | |
| 9 | Linear OA(8171, 552, F8, 60) (dual of [552, 381, 61]-code) | [i] | ✔ | |
| 10 | Linear OA(8169, 545, F8, 60) (dual of [545, 376, 61]-code) | [i] | ✔ | |
| 11 | Linear OA(8168, 542, F8, 60) (dual of [542, 374, 61]-code) | [i] | ✔ | |
| 12 | Linear OA(8173, 547, F8, 61) (dual of [547, 374, 62]-code) | [i] | ✔ | |