Information on Result #695147
Linear OA(2772, 19694, F27, 24) (dual of [19694, 19622, 25]-code), using construction X applied to Ce(23) ⊂ Ce(20) based on
- linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(2791, 19810, S27, 24) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2772, 14486, F27, 2, 24) (dual of [(14486, 2), 28900, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (48, 72, 14486)-net over F27 | [i] | ||
| 4 | Linear OOA(2772, 9847, F27, 2, 24) (dual of [(9847, 2), 19622, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2772, 1641, F27, 24, 24) (dual of [(1641, 24), 39312, 25]-NRT-code) | [i] | OA Folding and Stacking | |