Information on Result #730180
Linear OA(8158, 419, F81, 31) (dual of [419, 361, 32]-code), using construction X applied to C([26,56]) ⊂ C([30,56]) based on
- linear OA(8155, 410, F81, 31) (dual of [410, 355, 32]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {26,27,…,56}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8149, 410, F81, 27) (dual of [410, 361, 28]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {30,31,…,56}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(813, 9, F81, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,81) or 9-cap in PG(2,81)), using
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using
- Reed–Solomon code RS(78,81) [i]
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), 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(8158, 209, F81, 2, 31) (dual of [(209, 2), 360, 32]-NRT-code) | [i] | OOA Folding | |