MinT - Information on Result #801550

Information on Result #801550

Digital (22, 30, 514)-net over F₄, using trace code for nets based on digital (7, 15, 257)-net over F₁₆, using

base reduction for projective spaces (embedding PG(7,256) in PG(14,16)) for nets [i] based on digital (0, 8, 257)-net over F₂₅₆, using
- net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
    - the rational function field F₂₅₆(x) [i]
  - Niederreiter sequence [i]

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

The following results depend on this result:

	Result		This result only	Method
1	Digital (158, 174, 1049089)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
2	Digital (198, 214, 4194814)-net over F₄	[i]
3	Digital (158, 175, 1049089)-net over F₄	[i]
4	Digital (209, 226, 4194814)-net over F₄	[i]
5	Linear OOA(4³⁰, 514, F₄, 2, 8) (dual of [(514, 2), 998, 9]-NRT-code)	[i]		Extracting Embedded OOA
6	Linear OOA(4³⁰, 514, F₄, 3, 8) (dual of [(514, 3), 1512, 9]-NRT-code)	[i]		Extracting Embedded OOA