Information on Result #696421
Linear OA(27101, 198, F27, 58) (dual of [198, 97, 59]-code), using construction X applied to Ce(57) ⊂ Ce(50) based on
- 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(2786, 183, F27, 51) (dual of [183, 97, 52]-code), using an extension Ce(50) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [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 OOA(27101, 99, F27, 2, 58) (dual of [(99, 2), 97, 59]-NRT-code) | [i] | OOA Folding | |