Information on Result #695202
Linear OA(2765, 19702, F27, 21) (dual of [19702, 19637, 22]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
- 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(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(2765, 19702, F27, 2, 21) (dual of [(19702, 2), 39339, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (44, 65, 19702)-net over F27 | [i] | ||
| 3 | Linear OOA(2765, 9851, F27, 2, 21) (dual of [(9851, 2), 19637, 22]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2765, 1970, F27, 21, 21) (dual of [(1970, 21), 41305, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |