Information on Result #730214
Linear OA(8175, 416, F81, 41) (dual of [416, 341, 42]-code), using construction X applied to C([21,61]) ⊂ C([24,61]) based on
- linear OA(8173, 410, F81, 41) (dual of [410, 337, 42]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {21,22,…,61}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(8169, 410, F81, 38) (dual of [410, 341, 39]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {24,25,…,61}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(812, 6, F81, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), 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(8175, 208, F81, 2, 41) (dual of [(208, 2), 341, 42]-NRT-code) | [i] | OOA Folding | |