Information on Result #716244
Linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,74}, and designed minimum distance d ≥ |I|+1 = 45
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 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]
- 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8123, 538, F8, 44) (dual of [538, 415, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8122, 536, F8, 44) (dual of [536, 414, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(8121, 532, F8, 44) (dual of [532, 411, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(8120, 528, F8, 44) (dual of [528, 408, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(8119, 526, F8, 44) (dual of [526, 407, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(8119, 527, F8, 44) (dual of [527, 408, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(8151, 562, F8, 51) (dual of [562, 411, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(8150, 559, F8, 51) (dual of [559, 409, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(8149, 557, F8, 51) (dual of [557, 408, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(8138, 538, F8, 50) (dual of [538, 400, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(8137, 536, F8, 50) (dual of [536, 399, 51]-code) | [i] | ✔ | |
| 12 | Linear OA(8145, 547, F8, 51) (dual of [547, 402, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(8144, 544, F8, 51) (dual of [544, 400, 52]-code) | [i] | ✔ | |
| 14 | Linear OA(8143, 542, F8, 51) (dual of [542, 399, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(8150, 544, F8, 53) (dual of [544, 394, 54]-code) | [i] | ✔ | |
| 16 | Linear OA(8149, 542, F8, 53) (dual of [542, 393, 54]-code) | [i] | ✔ | |
| 17 | Linear OA(8154, 547, F8, 54) (dual of [547, 393, 55]-code) | [i] | ✔ | |
| 18 | Linear OA(8159, 553, F8, 55) (dual of [553, 394, 56]-code) | [i] | ✔ | |
| 19 | Linear OA(8158, 551, F8, 55) (dual of [551, 393, 56]-code) | [i] | ✔ | |
| 20 | Linear OA(8165, 561, F8, 56) (dual of [561, 396, 57]-code) | [i] | ✔ | |
| 21 | Linear OA(8162, 551, F8, 56) (dual of [551, 389, 57]-code) | [i] | ✔ | |
| 22 | Linear OA(8166, 562, F8, 57) (dual of [562, 396, 58]-code) | [i] | ✔ | |
| 23 | Linear OA(8165, 559, F8, 57) (dual of [559, 394, 58]-code) | [i] | ✔ | |
| 24 | Linear OA(8164, 557, F8, 57) (dual of [557, 393, 58]-code) | [i] | ✔ | |