Information on Result #1211037
Digital (232, 254, 1525209)-net over F4, using (u, u+v)-construction based on
- digital (1, 12, 9)-net over F4, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- digital (220, 242, 1525200)-net over F4, using
- trace code for nets [i] based on digital (99, 121, 762600)-net over F16, using
- net defined by OOA [i] based on linear OOA(16121, 762600, F16, 22, 22) (dual of [(762600, 22), 16777079, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(16121, 8388600, F16, 22) (dual of [8388600, 8388479, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(16121, large, F16, 22) (dual of [large, large−121, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(16121, large, F16, 22) (dual of [large, large−121, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(16121, 8388600, F16, 22) (dual of [8388600, 8388479, 23]-code), using
- net defined by OOA [i] based on linear OOA(16121, 762600, F16, 22, 22) (dual of [(762600, 22), 16777079, 23]-NRT-code), using
- trace code for nets [i] based on digital (99, 121, 762600)-net over F16, 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.