Information on Result #664688
Linear OA(16105, 1048592, F16, 20) (dual of [1048592, 1048487, 21]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(166, 8, F16, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- linear OA(168, 8, F16, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,16)), using
- linear OA(1691, 1048576, F16, 20) (dual of [1048576, 1048485, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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.