Information on Result #695868
Linear OA(2774, 752, F27, 35) (dual of [752, 678, 36]-code), using construction X applied to Ce(34) ⊂ Ce(25) based on
- linear OA(2766, 729, F27, 35) (dual of [729, 663, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2751, 729, F27, 26) (dual of [729, 678, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(278, 23, F27, 8) (dual of [23, 15, 9]-code or 23-arc in PG(7,27)), using
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- Reed–Solomon code RS(19,27) [i]
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), 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(2774, 376, F27, 2, 35) (dual of [(376, 2), 678, 36]-NRT-code) | [i] | OOA Folding | |