Information on Result #695775
Linear OA(27110, 747, F27, 55) (dual of [747, 637, 56]-code), using construction X applied to Ce(55) ⊂ Ce(47) based on
- linear OA(27104, 729, F27, 56) (dual of [729, 625, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(2792, 729, F27, 48) (dual of [729, 637, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(276, 18, F27, 6) (dual of [18, 12, 7]-code or 18-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(27110, 373, F27, 2, 55) (dual of [(373, 2), 636, 56]-NRT-code) | [i] | OOA Folding | |