Information on Result #717141
Linear OA(866, 591, F8, 20) (dual of [591, 525, 21]-code), using construction X applied to C([84,103]) ⊂ C([84,100]) based on
- linear OA(864, 585, F8, 20) (dual of [585, 521, 21]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {84,85,…,103}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(860, 585, F8, 17) (dual of [585, 525, 18]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {84,85,…,100}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(82, 6, F8, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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(866, 197, F8, 3, 20) (dual of [(197, 3), 525, 21]-NRT-code) | [i] | OOA Folding | |