Information on Result #666738
Linear OA(27110, 19707, F27, 31) (dual of [19707, 19597, 32]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2710, 12, F27, 10) (dual of [12, 2, 11]-code or 12-arc in PG(9,27)), using
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- Reed–Solomon code RS(17,27) [i]
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- linear OA(2712, 12, F27, 12) (dual of [12, 0, 13]-code or 12-arc in PG(11,27)), using
- linear OA(2788, 19683, F27, 31) (dual of [19683, 19595, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
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.