Information on Result #698748
Linear OA(6413, 4096, F64, 7) (dual of [4096, 4083, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(6415, 4098, F64, 8) (dual of [4098, 4083, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6413, 4098, F64, 7) (dual of [4098, 4085, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(6421, 4104, F64, 10) (dual of [4104, 4083, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(6415, 4104, F64, 7) (dual of [4104, 4089, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(6427, 4110, F64, 12) (dual of [4110, 4083, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(6433, 4116, F64, 14) (dual of [4116, 4083, 15]-code) | [i] | ✔ | |
| 7 | Linear OOA(6413, 1365, F64, 7, 7) (dual of [(1365, 7), 9542, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |