Information on Result #696274
Linear OA(2789, 376, F27, 47) (dual of [376, 287, 48]-code), using construction X applied to Ce(46) ⊂ Ce(42) based on
- linear OA(2786, 365, F27, 47) (dual of [365, 279, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- 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(273, 11, F27, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,27) or 11-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(2789, 188, F27, 2, 47) (dual of [(188, 2), 287, 48]-NRT-code) | [i] | OOA Folding | |