Information on Result #666725
Linear OA(2785, 759, F27, 32) (dual of [759, 674, 33]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2710, 15, F27, 10) (dual of [15, 5, 11]-code or 15-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(2715, 15, F27, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,27)), using
- linear OA(2760, 729, F27, 32) (dual of [729, 669, 33]-code), using
- an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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.