Information on Result #699423
Linear OA(8111, 6563, F81, 6) (dual of [6563, 6552, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(819, 6561, F81, 5) (dual of [6561, 6552, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(922, 13126, F9, 6) (dual of [13126, 13104, 7]-code) | [i] | Trace Code | |
| 2 | OA(2715, 6563, S27, 6) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8136, 13126, F81, 13) (dual of [13126, 13090, 14]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8148, 538007, F81, 13) (dual of [538007, 537959, 14]-code) | [i] | ||
| 5 | Linear OA(8114, 6645, F81, 6) (dual of [6645, 6631, 7]-code) | [i] | ||
| 6 | Linear OA(8115, 13125, F81, 6) (dual of [13125, 13110, 7]-code) | [i] | ||
| 7 | Linear OOA(8111, 3281, F81, 2, 6) (dual of [(3281, 2), 6551, 7]-NRT-code) | [i] | OOA Folding | |