Information on Result #696439
Linear OA(2792, 200, F27, 51) (dual of [200, 108, 52]-code), using construction X applied to Ce(50) ⊂ Ce(43) based on
- linear OA(2786, 183, F27, 51) (dual of [183, 97, 52]-code), using an extension Ce(50) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2775, 183, F27, 44) (dual of [183, 108, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(276, 17, F27, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), 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(2792, 100, F27, 2, 51) (dual of [(100, 2), 108, 52]-NRT-code) | [i] | OOA Folding | |