Information on Result #696394
Linear OA(27106, 196, F27, 63) (dual of [196, 90, 64]-code), using construction X applied to Ce(62) ⊂ Ce(56) 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(2793, 183, F27, 57) (dual of [183, 90, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(275, 13, F27, 5) (dual of [13, 8, 6]-code or 13-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 OA(27105, 195, F27, 62) (dual of [195, 90, 63]-code) | [i] | Truncation | |
| 2 | Linear OA(27104, 194, F27, 61) (dual of [194, 90, 62]-code) | [i] | ||
| 3 | Linear OOA(27106, 98, F27, 2, 63) (dual of [(98, 2), 90, 64]-NRT-code) | [i] | OOA Folding | |