Information on Result #696402
Linear OA(2790, 194, F27, 51) (dual of [194, 104, 52]-code), using construction X applied to Ce(50) ⊂ Ce(45) 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(2779, 183, F27, 46) (dual of [183, 104, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(274, 11, F27, 4) (dual of [11, 7, 5]-code or 11-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), 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(2790, 97, F27, 2, 51) (dual of [(97, 2), 104, 52]-NRT-code) | [i] | OOA Folding | |