Information on Result #2255784
Linear OA(27101, 368, F27, 55) (dual of [368, 267, 56]-code), using 1 times truncation based on linear OA(27102, 369, F27, 56) (dual of [369, 267, 57]-code), using
- construction X applied to Ce(55) ⊂ Ce(52) [i] based on
- linear OA(27100, 365, F27, 56) (dual of [365, 265, 57]-code), using an extension Ce(55) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(2798, 365, F27, 53) (dual of [365, 267, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(272, 4, F27, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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, 184, F27, 2, 55) (dual of [(184, 2), 267, 56]-NRT-code) | [i] | OOA Folding | |