Information on Result #614885
Linear OA(867, 262144, F8, 13) (dual of [262144, 262077, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(873, 262153, F8, 13) (dual of [262153, 262080, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(867, 183841, F8, 2, 13) (dual of [(183841, 2), 367615, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(867, 183841, F8, 3, 13) (dual of [(183841, 3), 551456, 14]-NRT-code) | [i] | ||
| 4 | Digital (54, 67, 183841)-net over F8 | [i] | ||
| 5 | Linear OA(873, 262150, F8, 14) (dual of [262150, 262077, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(867, 262150, F8, 13) (dual of [262150, 262083, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(880, 262157, F8, 15) (dual of [262157, 262077, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(868, 262157, F8, 13) (dual of [262157, 262089, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(889, 262166, F8, 17) (dual of [262166, 262077, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(870, 262165, F8, 13) (dual of [262165, 262095, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(897, 262174, F8, 18) (dual of [262174, 262077, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(871, 262172, F8, 13) (dual of [262172, 262101, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(8104, 262181, F8, 19) (dual of [262181, 262077, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(8114, 262191, F8, 20) (dual of [262191, 262077, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(896, 262168, F8, 18) (dual of [262168, 262072, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(887, 262159, F8, 16) (dual of [262159, 262072, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(890, 262168, F8, 17) (dual of [262168, 262078, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(881, 262159, F8, 15) (dual of [262159, 262078, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(873, 262175, F8, 13) (dual of [262175, 262102, 14]-code) | [i] | ✔ | |
| 20 | Linear OA(868, 262158, F8, 13) (dual of [262158, 262090, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |