Information on Result #695216
Linear OA(27102, 19706, F27, 34) (dual of [19706, 19604, 35]-code), using construction X applied to Ce(33) ⊂ Ce(27) based on
- linear OA(2797, 19683, F27, 34) (dual of [19683, 19586, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(275, 23, F27, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), 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 OA(27103, 19707, F27, 34) (dual of [19707, 19604, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(27102, 16189, F27, 2, 34) (dual of [(16189, 2), 32276, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (68, 102, 16189)-net over F27 | [i] | ||
| 4 | Linear OOA(27102, 9853, F27, 2, 34) (dual of [(9853, 2), 19604, 35]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(27102, 1159, F27, 34, 34) (dual of [(1159, 34), 39304, 35]-NRT-code) | [i] | OA Folding and Stacking | |