Information on Result #698745
Linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(6419, 4098, F64, 10) (dual of [4098, 4079, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6417, 4098, F64, 9) (dual of [4098, 4081, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(6425, 4104, F64, 12) (dual of [4104, 4079, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(6419, 4104, F64, 9) (dual of [4104, 4085, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(6431, 4110, F64, 14) (dual of [4110, 4079, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(6437, 4116, F64, 16) (dual of [4116, 4079, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(6443, 4122, F64, 18) (dual of [4122, 4079, 19]-code) | [i] | ✔ | |