Information on Result #696418
Linear OA(27107, 198, F27, 63) (dual of [198, 91, 64]-code), using construction X applied to Ce(62) ⊂ Ce(55) based on
- linear OA(27101, 183, F27, 63) (dual of [183, 82, 64]-code), using an extension Ce(62) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(2792, 183, F27, 56) (dual of [183, 91, 57]-code), using an extension Ce(55) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(276, 15, F27, 6) (dual of [15, 9, 7]-code or 15-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 OA(27106, 197, F27, 62) (dual of [197, 91, 63]-code) | [i] | Truncation | |
| 2 | Linear OA(27105, 196, F27, 61) (dual of [196, 91, 62]-code) | [i] | ||
| 3 | Linear OOA(27107, 99, F27, 2, 63) (dual of [(99, 2), 91, 64]-NRT-code) | [i] | OOA Folding | |