Information on Result #696406
Linear OA(2782, 193, F27, 46) (dual of [193, 111, 47]-code), using construction X applied to Ce(45) ⊂ Ce(41) based on
- linear OA(2779, 183, F27, 46) (dual of [183, 104, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(2772, 183, F27, 42) (dual of [183, 111, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(273, 10, F27, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,27) or 10-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(2782, 96, F27, 2, 46) (dual of [(96, 2), 110, 47]-NRT-code) | [i] | OOA Folding | |