Information on Result #696267
Linear OA(2781, 373, F27, 43) (dual of [373, 292, 44]-code), using construction X applied to Ce(42) ⊂ Ce(38) based on
- linear OA(2778, 365, F27, 43) (dual of [365, 287, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2773, 365, F27, 39) (dual of [365, 292, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(273, 8, F27, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,27) or 8-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), 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(2781, 186, F27, 2, 43) (dual of [(186, 2), 291, 44]-NRT-code) | [i] | OOA Folding | |