Information on Result #695693
Linear OA(27110, 741, F27, 57) (dual of [741, 631, 58]-code), using construction X applied to Ce(56) ⊂ Ce(50) based on
- linear OA(27105, 729, F27, 57) (dual of [729, 624, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(2798, 729, F27, 51) (dual of [729, 631, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(275, 12, F27, 5) (dual of [12, 7, 6]-code or 12-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), 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(27110, 370, F27, 2, 57) (dual of [(370, 2), 630, 58]-NRT-code) | [i] | OOA Folding | |