Information on Result #1218723
Digital (30, 39, 32792)-net over F16, using (u, u+v)-construction based on
- digital (1, 5, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- digital (25, 34, 32768)-net over F16, using
- net defined by OOA [i] based on linear OOA(1634, 32768, F16, 9, 9) (dual of [(32768, 9), 294878, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(1634, 131073, F16, 9) (dual of [131073, 131039, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1634, 131074, F16, 9) (dual of [131074, 131040, 10]-code), using
- trace code [i] based on linear OA(25617, 65537, F256, 9) (dual of [65537, 65520, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- trace code [i] based on linear OA(25617, 65537, F256, 9) (dual of [65537, 65520, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1634, 131074, F16, 9) (dual of [131074, 131040, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(1634, 131073, F16, 9) (dual of [131073, 131039, 10]-code), using
- net defined by OOA [i] based on linear OOA(1634, 32768, F16, 9, 9) (dual of [(32768, 9), 294878, 10]-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.