Information on Result #614856
Linear OA(849, 262144, F8, 10) (dual of [262144, 262095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(854, 262153, F8, 10) (dual of [262153, 262099, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(855, 262158, F8, 10) (dual of [262158, 262103, 11]-code) | [i] | ||
| 3 | Linear OOA(849, 140968, F8, 2, 10) (dual of [(140968, 2), 281887, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(849, 140968, F8, 3, 10) (dual of [(140968, 3), 422855, 11]-NRT-code) | [i] | ||
| 5 | Digital (39, 49, 140968)-net over F8 | [i] | ||
| 6 | Linear OA(855, 262150, F8, 11) (dual of [262150, 262095, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(849, 262150, F8, 10) (dual of [262150, 262101, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(862, 262157, F8, 12) (dual of [262157, 262095, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(851, 262153, F8, 10) (dual of [262153, 262102, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(852, 262159, F8, 10) (dual of [262159, 262107, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(870, 262165, F8, 13) (dual of [262165, 262095, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(853, 262166, F8, 10) (dual of [262166, 262113, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(877, 262172, F8, 14) (dual of [262172, 262095, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(855, 262174, F8, 10) (dual of [262174, 262119, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(885, 262180, F8, 15) (dual of [262180, 262095, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(896, 262191, F8, 17) (dual of [262191, 262095, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(895, 262190, F8, 17) (dual of [262190, 262095, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(884, 262174, F8, 15) (dual of [262174, 262090, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(878, 262174, F8, 14) (dual of [262174, 262096, 15]-code) | [i] | ✔ | |
| 20 | Linear OA(854, 262168, F8, 10) (dual of [262168, 262114, 11]-code) | [i] | ✔ | |
| 21 | Linear OA(862, 262158, F8, 12) (dual of [262158, 262096, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |