Information on Result #695240
Linear OA(2782, 19710, F27, 26) (dual of [19710, 19628, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(2782, 19710, F27, 2, 26) (dual of [(19710, 2), 39338, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (56, 82, 19710)-net over F27 | [i] | ||
| 3 | Linear OOA(2782, 9855, F27, 2, 26) (dual of [(9855, 2), 19628, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2782, 1516, F27, 26, 26) (dual of [(1516, 26), 39334, 27]-NRT-code) | [i] | OA Folding and Stacking | |