Information on Result #699421
Linear OA(8113, 6561, F81, 7) (dual of [6561, 6548, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, 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(8115, 6563, F81, 8) (dual of [6563, 6548, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8113, 6563, F81, 7) (dual of [6563, 6550, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(8121, 6569, F81, 10) (dual of [6569, 6548, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(8115, 6569, F81, 7) (dual of [6569, 6554, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(8127, 6575, F81, 12) (dual of [6575, 6548, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(8133, 6581, F81, 14) (dual of [6581, 6548, 15]-code) | [i] | ✔ | |
| 7 | Linear OOA(8113, 2187, F81, 3, 7) (dual of [(2187, 3), 6548, 8]-NRT-code) | [i] | OOA Folding | |