Information on Result #695200
Linear OA(2771, 19702, F27, 23) (dual of [19702, 19631, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
- linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(274, 19, F27, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), 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 | Linear OOA(2771, 19702, F27, 2, 23) (dual of [(19702, 2), 39333, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (48, 71, 19702)-net over F27 | [i] | ||
| 3 | Linear OOA(2771, 9851, F27, 2, 23) (dual of [(9851, 2), 19631, 24]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2771, 1791, F27, 23, 23) (dual of [(1791, 23), 41122, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |