Information on Result #699549
Linear OA(8165, 6581, F81, 30) (dual of [6581, 6516, 31]-code), using construction X applied to Ce(29) ⊂ Ce(22) 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(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(816, 20, F81, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), 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 OA(9130, 13162, F9, 30) (dual of [13162, 13032, 31]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8165, 3290, F81, 2, 30) (dual of [(3290, 2), 6515, 31]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8165, 2193, F81, 3, 30) (dual of [(2193, 3), 6514, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(8165, 1645, F81, 4, 30) (dual of [(1645, 4), 6515, 31]-NRT-code) | [i] | ||