Information on Result #664660
Linear OA(16129, 1048596, F16, 24) (dual of [1048596, 1048467, 25]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(168, 10, F16, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- linear OA(1610, 10, F16, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,16)), using
- linear OA(16111, 1048576, F16, 24) (dual of [1048576, 1048465, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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.