Information on Result #667865
Linear OA(3252, 32783, F32, 14) (dual of [32783, 32731, 15]-code), using generalized (u, u+v)-construction based on
- linear OA(323, 5, F32, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,32) or 5-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- linear OA(324, 5, F32, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,32)), using
- dual of repetition code with length 5 [i]
- linear OA(325, 5, F32, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,32)), using
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.