Information on Result #695778
Linear OA(27103, 746, F27, 51) (dual of [746, 643, 52]-code), using construction X applied to Ce(50) ⊂ Ce(44) based on
- 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(2786, 729, F27, 45) (dual of [729, 643, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(275, 17, F27, 5) (dual of [17, 12, 6]-code or 17-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(27103, 373, F27, 2, 51) (dual of [(373, 2), 643, 52]-NRT-code) | [i] | OOA Folding | |