Information on Result #696438
Linear OA(2794, 200, F27, 52) (dual of [200, 106, 53]-code), using construction X applied to Ce(51) ⊂ Ce(44) based on
- linear OA(2788, 183, F27, 52) (dual of [183, 95, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2777, 183, F27, 45) (dual of [183, 106, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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(2794, 100, F27, 2, 52) (dual of [(100, 2), 106, 53]-NRT-code) | [i] | OOA Folding | |