Information on Result #1210805
Digital (176, 195, 932156)-net over F4, using (u, u+v)-construction based on
- digital (17, 26, 90)-net over F4, using
- trace code for nets [i] based on digital (4, 13, 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
- trace code for nets [i] based on digital (4, 13, 45)-net over F16, using
- digital (150, 169, 932066)-net over F4, using
- net defined by OOA [i] based on linear OOA(4169, 932066, F4, 19, 19) (dual of [(932066, 19), 17709085, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(4169, 8388595, F4, 19) (dual of [8388595, 8388426, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(4169, 8388595, F4, 19) (dual of [8388595, 8388426, 20]-code), using
- net defined by OOA [i] based on linear OOA(4169, 932066, F4, 19, 19) (dual of [(932066, 19), 17709085, 20]-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.