Information on Result #695644
Linear OA(27109, 738, F27, 57) (dual of [738, 629, 58]-code), using construction X applied to Ce(56) ⊂ Ce(51) 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(27100, 729, F27, 52) (dual of [729, 629, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(274, 9, F27, 4) (dual of [9, 5, 5]-code or 9-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(27109, 369, F27, 2, 57) (dual of [(369, 2), 629, 58]-NRT-code) | [i] | OOA Folding | |