Information on Result #715708
Linear OA(869, 511, F8, 26) (dual of [511, 442, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(869, 494, F8, 2, 26) (dual of [(494, 2), 919, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(869, 494, F8, 3, 26) (dual of [(494, 3), 1413, 27]-NRT-code) | [i] | ||
| 3 | Digital (43, 69, 494)-net over F8 | [i] | ||
| 4 | Linear OA(879, 527, F8, 29) (dual of [527, 448, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(884, 532, F8, 30) (dual of [532, 448, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(893, 541, F8, 32) (dual of [541, 448, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(8114, 556, F8, 38) (dual of [556, 442, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(8127, 568, F8, 41) (dual of [568, 441, 42]-code) | [i] | ✔ | |