Information on Result #716451
Linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,81}, and designed minimum distance d ≥ |I|+1 = 50
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8145, 562, F8, 49) (dual of [562, 417, 50]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8144, 559, F8, 49) (dual of [559, 415, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(8143, 557, F8, 49) (dual of [557, 414, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(8141, 550, F8, 49) (dual of [550, 409, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(8140, 548, F8, 49) (dual of [548, 408, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(8139, 545, F8, 49) (dual of [545, 406, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(8138, 543, F8, 49) (dual of [543, 405, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(8141, 555, F8, 49) (dual of [555, 414, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(8140, 551, F8, 49) (dual of [551, 411, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(8138, 546, F8, 49) (dual of [546, 408, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(8136, 541, F8, 49) (dual of [541, 405, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(8135, 537, F8, 49) (dual of [537, 402, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(8145, 547, F8, 51) (dual of [547, 402, 52]-code) | [i] | ✔ | |
| 14 | Linear OA(8144, 544, F8, 51) (dual of [544, 400, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(8143, 542, F8, 51) (dual of [542, 399, 52]-code) | [i] | ✔ | |
| 16 | Linear OA(8149, 549, F8, 52) (dual of [549, 400, 53]-code) | [i] | ✔ | |
| 17 | Linear OA(8148, 547, F8, 52) (dual of [547, 399, 53]-code) | [i] | ✔ | |
| 18 | Linear OA(8133, 532, F8, 49) (dual of [532, 399, 50]-code) | [i] | ✔ | |
| 19 | Linear OA(8132, 529, F8, 49) (dual of [529, 397, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(8154, 556, F8, 53) (dual of [556, 402, 54]-code) | [i] | ✔ | |
| 21 | Linear OA(8153, 553, F8, 53) (dual of [553, 400, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(8152, 551, F8, 53) (dual of [551, 399, 54]-code) | [i] | ✔ | |
| 23 | Linear OA(8146, 545, F8, 52) (dual of [545, 399, 53]-code) | [i] | ✔ | |
| 24 | Linear OA(8131, 527, F8, 49) (dual of [527, 396, 50]-code) | [i] | ✔ | |
| 25 | Linear OA(8130, 523, F8, 49) (dual of [523, 393, 50]-code) | [i] | ✔ | |
| 26 | Linear OA(8157, 556, F8, 54) (dual of [556, 399, 55]-code) | [i] | ✔ | |
| 27 | Linear OA(8150, 549, F8, 53) (dual of [549, 399, 54]-code) | [i] | ✔ | |
| 28 | Linear OA(8163, 565, F8, 55) (dual of [565, 402, 56]-code) | [i] | ✔ | |
| 29 | Linear OA(8162, 562, F8, 55) (dual of [562, 400, 56]-code) | [i] | ✔ | |
| 30 | Linear OA(8161, 560, F8, 55) (dual of [560, 399, 56]-code) | [i] | ✔ | |
| 31 | Linear OA(8155, 554, F8, 54) (dual of [554, 399, 55]-code) | [i] | ✔ | |
| 32 | Linear OA(8146, 537, F8, 53) (dual of [537, 391, 54]-code) | [i] | ✔ | |