Information on Result #716629
Linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,46}, and designed minimum distance d ≥ |I|+1 = 56
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 Expurgated Narrow-Sense BCH-Codes [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(8165, 570, F8, 55) (dual of [570, 405, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8164, 565, F8, 55) (dual of [565, 401, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(8162, 560, F8, 55) (dual of [560, 398, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(8164, 566, F8, 55) (dual of [566, 402, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(8162, 561, F8, 55) (dual of [561, 399, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(8159, 551, F8, 55) (dual of [551, 392, 56]-code) | [i] | ✔ | |
| 7 | Linear OA(8159, 552, F8, 55) (dual of [552, 393, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(8158, 548, F8, 55) (dual of [548, 390, 56]-code) | [i] | ✔ | |
| 9 | Linear OA(8162, 549, F8, 57) (dual of [549, 387, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(8160, 547, F8, 56) (dual of [547, 387, 57]-code) | [i] | ✔ | |
| 11 | Linear OA(8166, 553, F8, 58) (dual of [553, 387, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(8171, 558, F8, 59) (dual of [558, 387, 60]-code) | [i] | ✔ | |