MinT - Information on Result #1825838

Information on Result #1825838

(30, 42, 387)-net in base 4, using trace code for nets based on (2, 14, 129)-net in base 64, using

base change [i] based on digital (0, 12, 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	(31, 43, 387)-net in base 4	[i]		Net Duplication
2	(32, 44, 387)-net in base 4	[i]
3	(33, 45, 387)-net in base 4	[i]
4	(30, 41, 387)-net in base 4	[i]		m-Reduction
5	(114, 138, 1415)-net in base 4	[i]		(u,Â u+v)-Construction for Nets
6	(234, 258, 699437)-net in base 4	[i]
7	(117, 142, 1415)-net in base 4	[i]
8	(234, 259, 699437)-net in base 4	[i]
9	OOA(4⁴², 387, S₄, 2, 12)	[i]		Extracting Embedded OOA
10	OOA(4⁴², 387, S₄, 3, 12)	[i]		Extracting Embedded OOA