Information on Result #696369
Linear OA(27105, 193, F27, 63) (dual of [193, 88, 64]-code), using construction X applied to Ce(62) ⊂ Ce(57) 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(2795, 183, F27, 58) (dual of [183, 88, 59]-code), using an extension Ce(57) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(274, 10, F27, 4) (dual of [10, 6, 5]-code or 10-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 OA(27104, 192, F27, 62) (dual of [192, 88, 63]-code) | [i] | Truncation | |
| 2 | Linear OOA(27105, 96, F27, 2, 63) (dual of [(96, 2), 87, 64]-NRT-code) | [i] | OOA Folding | |