Information on Result #1613921
Linear OOA(8168, 5195, F81, 4, 30) (dual of [(5195, 4), 20712, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8168, 5195, F81, 30) (dual of [5195, 5127, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(8168, 6590, F81, 30) (dual of [6590, 6522, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(19) [i] based on
- linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(819, 29, F81, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,81)), using
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- Reed–Solomon code RS(72,81) [i]
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- construction X applied to Ce(29) ⊂ Ce(19) [i] based on
Mode: 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, 1298, F81, 36, 30) (dual of [(1298, 36), 46660, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |