Information on Result #699554
Linear OA(8155, 6581, F81, 25) (dual of [6581, 6526, 26]-code), using construction X applied to Ce(24) ⊂ Ce(17) based on
- linear OA(8149, 6561, F81, 25) (dual of [6561, 6512, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(9110, 13162, F9, 25) (dual of [13162, 13052, 26]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8155, 3555, F81, 2, 25) (dual of [(3555, 2), 7055, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8155, 3555, F81, 3, 25) (dual of [(3555, 3), 10610, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(8155, 3555, F81, 4, 25) (dual of [(3555, 4), 14165, 26]-NRT-code) | [i] | ||
| 5 | Digital (30, 55, 3555)-net over F81 | [i] | ||
| 6 | Linear OOA(8155, 3290, F81, 2, 25) (dual of [(3290, 2), 6525, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8155, 1645, F81, 4, 25) (dual of [(1645, 4), 6525, 26]-NRT-code) | [i] | ||