Information on Result #614874
Linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(867, 262153, F8, 12) (dual of [262153, 262086, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(861, 169592, F8, 2, 12) (dual of [(169592, 2), 339123, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(861, 169592, F8, 3, 12) (dual of [(169592, 3), 508715, 13]-NRT-code) | [i] | ||
| 4 | Digital (49, 61, 169592)-net over F8 | [i] | ||
| 5 | Linear OA(867, 262150, F8, 13) (dual of [262150, 262083, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(861, 262150, F8, 12) (dual of [262150, 262089, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(874, 262157, F8, 14) (dual of [262157, 262083, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(862, 262157, F8, 12) (dual of [262157, 262095, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(882, 262165, F8, 15) (dual of [262165, 262083, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(864, 262165, F8, 12) (dual of [262165, 262101, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(891, 262174, F8, 17) (dual of [262174, 262083, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(889, 262172, F8, 16) (dual of [262172, 262083, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(867, 262174, F8, 12) (dual of [262174, 262107, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(898, 262181, F8, 18) (dual of [262181, 262083, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(8108, 262191, F8, 19) (dual of [262191, 262083, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(8107, 262190, F8, 19) (dual of [262190, 262083, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(890, 262168, F8, 17) (dual of [262168, 262078, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(890, 262174, F8, 16) (dual of [262174, 262084, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(881, 262159, F8, 15) (dual of [262159, 262078, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(875, 262159, F8, 14) (dual of [262159, 262084, 15]-code) | [i] | ✔ | |
| 21 | Linear OA(866, 262168, F8, 12) (dual of [262168, 262102, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(862, 262158, F8, 12) (dual of [262158, 262096, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |