Information on Result #687190
Linear OA(857, 4096, F8, 17) (dual of [4096, 4039, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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 OOA(857, 2150, F8, 2, 17) (dual of [(2150, 2), 4243, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(857, 2150, F8, 3, 17) (dual of [(2150, 3), 6393, 18]-NRT-code) | [i] | ||
| 3 | Digital (40, 57, 2150)-net over F8 | [i] | ||
| 4 | Linear OA(861, 4100, F8, 18) (dual of [4100, 4039, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(858, 4101, F8, 17) (dual of [4101, 4043, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(858, 4105, F8, 16) (dual of [4105, 4047, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(859, 4105, F8, 17) (dual of [4105, 4046, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(872, 4111, F8, 20) (dual of [4111, 4039, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(861, 4112, F8, 17) (dual of [4112, 4051, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(863, 4118, F8, 17) (dual of [4118, 4055, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(861, 4116, F8, 16) (dual of [4116, 4055, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(883, 4122, F8, 22) (dual of [4122, 4039, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(864, 4123, F8, 17) (dual of [4123, 4059, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(862, 4116, F8, 17) (dual of [4116, 4054, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(882, 4118, F8, 22) (dual of [4118, 4036, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(885, 4125, F8, 22) (dual of [4125, 4040, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(871, 4107, F8, 20) (dual of [4107, 4036, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(874, 4114, F8, 20) (dual of [4114, 4040, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(859, 4107, F8, 16) (dual of [4107, 4048, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(862, 4114, F8, 17) (dual of [4114, 4052, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(865, 4125, F8, 17) (dual of [4125, 4060, 18]-code) | [i] | ✔ | |
| 22 | Linear OOA(857, 2048, F8, 2, 17) (dual of [(2048, 2), 4039, 18]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(857, 1365, F8, 3, 17) (dual of [(1365, 3), 4038, 18]-NRT-code) | [i] | ||