Information on Result #698736
Linear OA(6429, 4096, F64, 15) (dual of [4096, 4067, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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 OA(6431, 4098, F64, 16) (dual of [4098, 4067, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6429, 4098, F64, 15) (dual of [4098, 4069, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(6437, 4104, F64, 18) (dual of [4104, 4067, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(6431, 4104, F64, 15) (dual of [4104, 4073, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(6443, 4110, F64, 20) (dual of [4110, 4067, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(6433, 4110, F64, 15) (dual of [4110, 4077, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(6449, 4116, F64, 22) (dual of [4116, 4067, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(6435, 4116, F64, 15) (dual of [4116, 4081, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(6455, 4122, F64, 24) (dual of [4122, 4067, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(6461, 4128, F64, 26) (dual of [4128, 4067, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(6467, 4134, F64, 28) (dual of [4134, 4067, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(6473, 4140, F64, 30) (dual of [4140, 4067, 31]-code) | [i] | ✔ | |
| 13 | Linear OOA(6429, 585, F64, 15, 15) (dual of [(585, 15), 8746, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |