Information on Result #865002
Linear OOA(2718, 370, F27, 2, 8) (dual of [(370, 2), 722, 9]-NRT-code), using OOA 2-folding based on linear OA(2718, 740, F27, 8) (dual of [740, 722, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- linear OA(2715, 729, F27, 8) (dual of [729, 714, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(277, 729, F27, 4) (dual of [729, 722, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(273, 11, F27, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,27) or 11-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), 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(2794, 4194671, F27, 2, 16) (dual of [(4194671, 2), 8389248, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2799, 4194671, F27, 2, 17) (dual of [(4194671, 2), 8389243, 18]-NRT-code) | [i] | ||