Information on Result #664719
Linear OA(1664, 131084, F16, 14) (dual of [131084, 131020, 15]-code), using (u, u−v, u+v+w)-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(1654, 131072, F16, 14) (dual of [131072, 131018, 15]-code), using
- trace code [i] based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- trace code [i] based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
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.