Information on Result #1822058
OA(2772, 19768, S27, 20), using (u, u+v)-construction based on
- OA(2714, 82, S27, 10), using
- discarding parts of the base [i] based on linear OA(8110, 82, F81, 10) (dual of [82, 72, 11]-code or 82-arc in PG(9,81)), using
- extended Reed–Solomon code RSe(72,81) [i]
- discarding parts of the base [i] based on linear OA(8110, 82, F81, 10) (dual of [82, 72, 11]-code or 82-arc in PG(9,81)), using
- linear OA(2758, 19686, F27, 20) (dual of [19686, 19628, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [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.