Information on Result #716818
Linear OA(8133, 511, F8, 51) (dual of [511, 378, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8141, 525, F8, 53) (dual of [525, 384, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8136, 517, F8, 52) (dual of [517, 381, 53]-code) | [i] | ✔ | |
| 3 | Linear OA(8145, 527, F8, 54) (dual of [527, 382, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(8140, 521, F8, 53) (dual of [521, 381, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(8173, 562, F8, 59) (dual of [562, 389, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(8171, 557, F8, 59) (dual of [557, 386, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(8150, 534, F8, 55) (dual of [534, 384, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(8144, 523, F8, 54) (dual of [523, 379, 55]-code) | [i] | ✔ | |
| 9 | Linear OA(8173, 563, F8, 59) (dual of [563, 390, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(8149, 530, F8, 55) (dual of [530, 381, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(8171, 558, F8, 59) (dual of [558, 387, 60]-code) | [i] | ✔ | |
| 12 | Linear OA(8154, 535, F8, 56) (dual of [535, 381, 57]-code) | [i] | ✔ | |
| 13 | Linear OA(8168, 552, F8, 59) (dual of [552, 384, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(8167, 547, F8, 59) (dual of [547, 380, 60]-code) | [i] | ✔ | |
| 15 | Linear OA(8166, 545, F8, 59) (dual of [545, 379, 60]-code) | [i] | ✔ | |
| 16 | Linear OA(8165, 542, F8, 59) (dual of [542, 377, 60]-code) | [i] | ✔ | |
| 17 | Linear OA(8167, 548, F8, 59) (dual of [548, 381, 60]-code) | [i] | ✔ | |
| 18 | Linear OA(8139, 517, F8, 53) (dual of [517, 378, 54]-code) | [i] | ✔ | |
| 19 | Linear OA(8143, 521, F8, 54) (dual of [521, 378, 55]-code) | [i] | ✔ | |
| 20 | Linear OA(8147, 523, F8, 55) (dual of [523, 376, 56]-code) | [i] | ✔ | |
| 21 | Linear OA(8152, 530, F8, 56) (dual of [530, 378, 57]-code) | [i] | ✔ | |
| 22 | Linear OA(8170, 548, F8, 60) (dual of [548, 378, 61]-code) | [i] | ✔ | |
| 23 | Linear OA(8147, 525, F8, 55) (dual of [525, 378, 56]-code) | [i] | ✔ | |
| 24 | Linear OA(8151, 527, F8, 56) (dual of [527, 376, 57]-code) | [i] | ✔ | |
| 25 | Linear OA(8172, 545, F8, 61) (dual of [545, 373, 62]-code) | [i] | ✔ | |
| 26 | Linear OA(8171, 542, F8, 61) (dual of [542, 371, 62]-code) | [i] | ✔ | |