Information on Result #614778
Linear OA(810, 512, F8, 4) (dual of [512, 502, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(810, 515, F8, 4) (dual of [515, 505, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(817, 519, F8, 6) (dual of [519, 502, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(822, 524, F8, 7) (dual of [524, 502, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(826, 528, F8, 8) (dual of [528, 502, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(827, 527, F8, 9) (dual of [527, 500, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(817, 520, F8, 6) (dual of [520, 503, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |