Information on Result #696383
Linear OA(2778, 191, F27, 44) (dual of [191, 113, 45]-code), using construction X applied to Ce(43) ⊂ Ce(39) based on
- linear OA(2775, 183, F27, 44) (dual of [183, 108, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- 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(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
None.