Information on Result #696411
Linear OA(2773, 194, F27, 40) (dual of [194, 121, 41]-code), using construction X applied to Ce(39) ⊂ Ce(35) based on
- linear OA(2770, 183, F27, 40) (dual of [183, 113, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2762, 183, F27, 36) (dual of [183, 121, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(2773, 97, F27, 2, 40) (dual of [(97, 2), 121, 41]-NRT-code) | [i] | OOA Folding | |