Information on Result #614883
Linear OA(845, 4096, F8, 13) (dual of [4096, 4051, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, 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 OOA(845, 2867, F8, 2, 13) (dual of [(2867, 2), 5689, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(845, 2867, F8, 3, 13) (dual of [(2867, 3), 8556, 14]-NRT-code) | [i] | ||
| 3 | Digital (32, 45, 2867)-net over F8 | [i] | ||
| 4 | Linear OA(849, 4100, F8, 14) (dual of [4100, 4051, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(845, 4100, F8, 13) (dual of [4100, 4055, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(854, 4105, F8, 15) (dual of [4105, 4051, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(846, 4105, F8, 13) (dual of [4105, 4059, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(861, 4112, F8, 17) (dual of [4112, 4051, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(848, 4111, F8, 13) (dual of [4111, 4063, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(867, 4118, F8, 18) (dual of [4118, 4051, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(849, 4116, F8, 13) (dual of [4116, 4067, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(872, 4123, F8, 19) (dual of [4123, 4051, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(866, 4116, F8, 18) (dual of [4116, 4050, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(877, 4125, F8, 20) (dual of [4125, 4048, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(873, 4125, F8, 19) (dual of [4125, 4052, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(866, 4114, F8, 18) (dual of [4114, 4048, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(859, 4107, F8, 16) (dual of [4107, 4048, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(862, 4114, F8, 17) (dual of [4114, 4052, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(855, 4107, F8, 15) (dual of [4107, 4052, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(847, 4107, F8, 13) (dual of [4107, 4060, 14]-code) | [i] | ✔ | |