Information on Result #714934
Linear OA(810, 511, F8, 4) (dual of [511, 501, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(818, 525, F8, 6) (dual of [525, 507, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(822, 525, F8, 7) (dual of [525, 503, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(822, 527, F8, 7) (dual of [527, 505, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(817, 521, F8, 6) (dual of [521, 504, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(821, 523, F8, 7) (dual of [523, 502, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(826, 530, F8, 8) (dual of [530, 504, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(816, 517, F8, 6) (dual of [517, 501, 7]-code) | [i] | ✔ | |
| 8 | Linear OA(824, 523, F8, 8) (dual of [523, 499, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(824, 525, F8, 8) (dual of [525, 501, 9]-code) | [i] | ✔ | |