Information on Result #666577
Linear OA(27110, 19710, F27, 30) (dual of [19710, 19600, 31]-code), using generalized (u, u+v)-construction based on
- linear OA(277, 9, F27, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,27)), using
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- Reed–Solomon code RS(20,27) [i]
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- linear OA(279, 9, F27, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,27)), using
- linear OA(279, 9, F27, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,27)) (see above)
- linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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.