Information on Result #688001
Linear OA(819, 512, F8, 7) (dual of [512, 493, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(823, 516, F8, 9) (dual of [516, 493, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(819, 515, F8, 7) (dual of [515, 496, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(827, 520, F8, 10) (dual of [520, 493, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(831, 522, F8, 11) (dual of [522, 491, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(832, 525, F8, 11) (dual of [525, 493, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(822, 524, F8, 7) (dual of [524, 502, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(837, 530, F8, 12) (dual of [530, 493, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(841, 534, F8, 13) (dual of [534, 493, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(849, 540, F8, 15) (dual of [540, 491, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(845, 536, F8, 14) (dual of [536, 491, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(840, 531, F8, 13) (dual of [531, 491, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(836, 527, F8, 12) (dual of [527, 491, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(833, 527, F8, 11) (dual of [527, 494, 12]-code) | [i] | ✔ | |