Information on Result #698739
Linear OA(6425, 4096, F64, 13) (dual of [4096, 4071, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(6427, 4098, F64, 14) (dual of [4098, 4071, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6425, 4098, F64, 13) (dual of [4098, 4073, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(6433, 4104, F64, 16) (dual of [4104, 4071, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(6427, 4104, F64, 13) (dual of [4104, 4077, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(6439, 4110, F64, 18) (dual of [4110, 4071, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(6429, 4110, F64, 13) (dual of [4110, 4081, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(6445, 4116, F64, 20) (dual of [4116, 4071, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(6451, 4122, F64, 22) (dual of [4122, 4071, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(6457, 4128, F64, 24) (dual of [4128, 4071, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(6463, 4134, F64, 26) (dual of [4134, 4071, 27]-code) | [i] | ✔ | |
| 11 | Linear OOA(6425, 682, F64, 13, 13) (dual of [(682, 13), 8841, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |