Information on Result #1211156
Digital (224, 248, 699140)-net over F4, using (u, u+v)-construction based on
- digital (20, 32, 90)-net over F4, using
- trace code for nets [i] based on digital (4, 16, 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, 16, 45)-net over F16, using
- digital (192, 216, 699050)-net over F4, using
- net defined by OOA [i] based on linear OOA(4216, 699050, F4, 24, 24) (dual of [(699050, 24), 16776984, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(4216, 8388600, F4, 24) (dual of [8388600, 8388384, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(4216, 8388600, F4, 24) (dual of [8388600, 8388384, 25]-code), using
- net defined by OOA [i] based on linear OOA(4216, 699050, F4, 24, 24) (dual of [(699050, 24), 16776984, 25]-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.