Information on Result #699642
Linear OA(8168, 6602, F81, 28) (dual of [6602, 6534, 29]-code), using construction X applied to Ce(27) ⊂ Ce(13) based on
- linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8113, 41, F81, 13) (dual of [41, 28, 14]-code or 41-arc in PG(12,81)), using
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
- Reed–Solomon code RS(68,81) [i]
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), 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 OOA(8168, 3301, F81, 2, 28) (dual of [(3301, 2), 6534, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8168, 2200, F81, 3, 28) (dual of [(2200, 3), 6532, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(8168, 1650, F81, 4, 28) (dual of [(1650, 4), 6532, 29]-NRT-code) | [i] | ||