Information on Result #716643
Linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {28,29,…,81}, and designed minimum distance d ≥ |I|+1 = 55
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]
- 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(8157, 556, F8, 54) (dual of [556, 399, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8156, 553, F8, 54) (dual of [553, 397, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(8155, 551, F8, 54) (dual of [551, 396, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(8154, 547, F8, 54) (dual of [547, 393, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(8153, 544, F8, 54) (dual of [544, 391, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(8152, 542, F8, 54) (dual of [542, 390, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(8155, 554, F8, 54) (dual of [554, 399, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(8153, 549, F8, 54) (dual of [549, 396, 55]-code) | [i] | ✔ | |
| 9 | Linear OA(8152, 545, F8, 54) (dual of [545, 393, 55]-code) | [i] | ✔ | |
| 10 | Linear OA(8160, 545, F8, 57) (dual of [545, 385, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(8159, 543, F8, 57) (dual of [543, 384, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(8149, 537, F8, 54) (dual of [537, 388, 55]-code) | [i] | ✔ | |
| 13 | Linear OA(8157, 541, F8, 57) (dual of [541, 384, 58]-code) | [i] | ✔ | |
| 14 | Linear OA(8162, 546, F8, 58) (dual of [546, 384, 59]-code) | [i] | ✔ | |
| 15 | Linear OA(8167, 551, F8, 59) (dual of [551, 384, 60]-code) | [i] | ✔ | |
| 16 | Linear OA(8154, 532, F8, 57) (dual of [532, 378, 58]-code) | [i] | ✔ | |
| 17 | Linear OA(8153, 529, F8, 57) (dual of [529, 376, 58]-code) | [i] | ✔ | |
| 18 | Linear OA(8171, 555, F8, 60) (dual of [555, 384, 61]-code) | [i] | ✔ | |
| 19 | Linear OA(8152, 527, F8, 57) (dual of [527, 375, 58]-code) | [i] | ✔ | |