Information on Result #667858
Linear OA(3268, 32786, F32, 18) (dual of [32786, 32718, 19]-code), using generalized (u, u+v)-construction based on
- linear OA(324, 6, F32, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- linear OA(326, 6, F32, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,32)), using
- linear OA(326, 6, F32, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,32)) (see above)
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.