MinT - Information on Result #1826343

Information on Result #1826343

(36, 50, 258)-net in base 4, using trace code for nets based on (11, 25, 129)-net in base 16, using

base change [i] based on (6, 20, 129)-net in base 32, using
- 1 times m-reduction [i] based on (6, 21, 129)-net in base 32, using
  - base change [i] based on digital (0, 15, 129)-net over F₁₂₈, using
    - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
        the rational function field F₁₂₈(x) [i]
      - Niederreiter sequence [i]

Mode: Constructive.

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	(134, 162, 1286)-net in base 4	[i]		(u,Â u+v)-Construction for Nets
2	(137, 166, 1286)-net in base 4	[i]		(u,Â u+v)-Construction for Nets
3	OOA(4⁵⁰, 258, S₄, 2, 14)	[i]		Extracting Embedded OOA
4	OOA(4⁵⁰, 258, S₄, 3, 14)	[i]		Extracting Embedded OOA