Information on Result #614894
Linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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 OOA(849, 3088, F8, 2, 14) (dual of [(3088, 2), 6127, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(849, 3088, F8, 3, 14) (dual of [(3088, 3), 9215, 15]-NRT-code) | [i] | ||
| 3 | Digital (35, 49, 3088)-net over F8 | [i] | ||
| 4 | Linear OA(853, 4100, F8, 15) (dual of [4100, 4047, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(849, 4100, F8, 14) (dual of [4100, 4051, 15]-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(850, 4105, F8, 14) (dual of [4105, 4055, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(865, 4112, F8, 18) (dual of [4112, 4047, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(852, 4111, F8, 14) (dual of [4111, 4059, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(871, 4118, F8, 19) (dual of [4118, 4047, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(853, 4116, F8, 14) (dual of [4116, 4063, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(876, 4123, F8, 20) (dual of [4123, 4047, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(870, 4116, F8, 19) (dual of [4116, 4046, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(881, 4125, F8, 21) (dual of [4125, 4044, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(877, 4125, F8, 20) (dual of [4125, 4048, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(870, 4114, F8, 19) (dual of [4114, 4044, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(866, 4114, F8, 18) (dual of [4114, 4048, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(859, 4107, F8, 16) (dual of [4107, 4048, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(851, 4107, F8, 14) (dual of [4107, 4056, 15]-code) | [i] | ✔ | |
| 21 | Linear OOA(849, 585, F8, 14, 14) (dual of [(585, 14), 8141, 15]-NRT-code) | [i] | OA Folding and Stacking | |