MinT - Information on Result #1825966

Information on Result #1825966

(16, 28, 258)-net in base 8, 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	(17, 29, 258)-net in base 8	[i]		Net Duplication
2	(18, 30, 258)-net in base 8	[i]		Net Duplication
3	(16, 27, 258)-net in base 8	[i]		m-Reduction
4	(66, 90, 612)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
5	(68, 92, 772)-net in base 8	[i]
6	(67, 92, 612)-net in base 8	[i]
7	(69, 94, 642)-net in base 8	[i]
8	(71, 96, 772)-net in base 8	[i]
9	(73, 98, 774)-net in base 8	[i]
10	OOA(8²⁸, 258, S₈, 2, 12)	[i]		Extracting Embedded OOA
11	OOA(8²⁸, 258, S₈, 3, 12)	[i]		Extracting Embedded OOA