Information on Result #695146
Linear OA(2775, 19694, F27, 25) (dual of [19694, 19619, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2764, 19683, F27, 22) (dual of [19683, 19619, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(272, 11, F27, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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 | OA(2794, 19810, S27, 25) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2775, 14602, F27, 2, 25) (dual of [(14602, 2), 29129, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (50, 75, 14602)-net over F27 | [i] | ||
| 4 | Linear OOA(2775, 9847, F27, 2, 25) (dual of [(9847, 2), 19619, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2775, 1641, F27, 25, 25) (dual of [(1641, 25), 40950, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |