Information on Result #699420
Linear OA(8115, 6563, F81, 8) (dual of [6563, 6548, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
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(930, 13126, F9, 8) (dual of [13126, 13096, 9]-code) | [i] | Trace Code | |
| 2 | OA(2720, 6563, S27, 8) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8148, 13126, F81, 17) (dual of [13126, 13078, 18]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8164, 538007, F81, 17) (dual of [538007, 537943, 18]-code) | [i] | ||
| 5 | Linear OA(8119, 6645, F81, 8) (dual of [6645, 6626, 9]-code) | [i] | ||
| 6 | Linear OA(8120, 6663, F81, 8) (dual of [6663, 6643, 9]-code) | [i] | ||
| 7 | Linear OA(8121, 13043, F81, 8) (dual of [13043, 13022, 9]-code) | [i] | ||
| 8 | Linear OOA(8115, 3281, F81, 2, 8) (dual of [(3281, 2), 6547, 9]-NRT-code) | [i] | OOA Folding | |