Information on Result #1219693
Digital (96, 123, 10127)-net over F16, using (u, u+v)-construction based on
- digital (4, 17, 45)-net over F16, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
- digital (79, 106, 10082)-net over F16, using
- net defined by OOA [i] based on linear OOA(16106, 10082, F16, 27, 27) (dual of [(10082, 27), 272108, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(16106, 131067, F16, 27) (dual of [131067, 130961, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(16106, 131074, F16, 27) (dual of [131074, 130968, 28]-code), using
- trace code [i] based on linear OA(25653, 65537, F256, 27) (dual of [65537, 65484, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- trace code [i] based on linear OA(25653, 65537, F256, 27) (dual of [65537, 65484, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(16106, 131074, F16, 27) (dual of [131074, 130968, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(16106, 131067, F16, 27) (dual of [131067, 130961, 28]-code), using
- net defined by OOA [i] based on linear OOA(16106, 10082, F16, 27, 27) (dual of [(10082, 27), 272108, 28]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.