MinT - Information on Result #1825938

Information on Result #1825938

(170, 231, 648)-net in base 4, using trace code for nets based on (16, 77, 216)-net in base 64, using

base change [i] based on digital (5, 66, 216)-net over F₁₂₈, using
- net from sequence [i] based on digital (5, 215)-sequence over F₁₂₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 5 and N(F) ≥ 216, using
    - a function field by SÃ©mirat [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	(171, 231, 648)-net in base 4	[i]		t-Expansion
2	(172, 231, 648)-net in base 4	[i]
3	(173, 231, 648)-net in base 4	[i]
4	(171, 232, 648)-net in base 4	[i]		Net Duplication
5	(172, 233, 648)-net in base 4	[i]
6	(173, 234, 648)-net in base 4	[i]
7	(174, 235, 648)-net in base 4	[i]
8	(170, 230, 648)-net in base 4	[i]		m-Reduction
9	(170, 229, 648)-net in base 4	[i]
10	(170, 228, 648)-net in base 4	[i]
11	(170, 227, 648)-net in base 4	[i]
12	OOA(4²³¹, 648, S₄, 2, 61)	[i]		Extracting Embedded OOA
13	OOA(4²³¹, 648, S₄, 3, 61)	[i]		Extracting Embedded OOA