Information on Result #717035
Linear OA(8151, 511, F8, 58) (dual of [511, 360, 59]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,57], and designed minimum distance d ≥ |I|+1 = 59
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8154, 517, F8, 59) (dual of [517, 363, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8169, 535, F8, 62) (dual of [535, 366, 63]-code) | [i] | ✔ | |
| 3 | Linear OA(8158, 521, F8, 60) (dual of [521, 363, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(8163, 526, F8, 61) (dual of [526, 363, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(8162, 523, F8, 61) (dual of [523, 361, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(8167, 530, F8, 62) (dual of [530, 363, 63]-code) | [i] | ✔ | |
| 7 | Linear OA(8172, 535, F8, 63) (dual of [535, 363, 64]-code) | [i] | ✔ | |
| 8 | Linear OA(8157, 517, F8, 60) (dual of [517, 360, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(8161, 521, F8, 61) (dual of [521, 360, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(8165, 523, F8, 62) (dual of [523, 358, 63]-code) | [i] | ✔ | |
| 11 | Linear OA(8170, 530, F8, 63) (dual of [530, 360, 64]-code) | [i] | ✔ | |
| 12 | Linear OA(8165, 525, F8, 62) (dual of [525, 360, 63]-code) | [i] | ✔ | |
| 13 | Linear OA(8169, 527, F8, 63) (dual of [527, 358, 64]-code) | [i] | ✔ | |