Information on Result #695246
Linear OA(2764, 19710, F27, 20) (dual of [19710, 19646, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) based on
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2737, 19683, F27, 13) (dual of [19683, 19646, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
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(2764, 9855, F27, 2, 20) (dual of [(9855, 2), 19646, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2764, 1971, F27, 20, 20) (dual of [(1971, 20), 39356, 21]-NRT-code) | [i] | OA Folding and Stacking | |