Information on Result #664590
Linear OA(16102, 1048594, F16, 19) (dual of [1048594, 1048492, 20]-code), using generalized (u, u+v)-construction based on
- linear OA(164, 6, F16, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- linear OA(166, 6, F16, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,16)), using
- linear OA(166, 6, F16, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,16)) (see above)
- linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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.