Information on Result #1822017
OA(2794, 19810, S27, 25), using (u, u+v)-construction based on
- OA(2719, 116, S27, 12), using
- discarding parts of the base [i] based on linear OA(8114, 116, F81, 12) (dual of [116, 102, 13]-code), using
- extended algebraic-geometric code AGe(F,103P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- discarding parts of the base [i] based on linear OA(8114, 116, F81, 12) (dual of [116, 102, 13]-code), using
- linear OA(2775, 19694, F27, 25) (dual of [19694, 19619, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2764, 19683, F27, 22) (dual of [19683, 19619, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(272, 11, F27, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
Mode: Constructive.
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.