MinT - Information on Result #1823612

Information on Result #1823612

(45, 72, 514)-net in base 8, using base change based on digital (27, 54, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 27, 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.

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	(46, 73, 514)-net in base 8	[i]		Net Duplication
2	(47, 74, 514)-net in base 8	[i]		Net Duplication
3	(45, 71, 514)-net in base 8	[i]		m-Reduction
4	(70, 97, 579)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
5	(71, 98, 644)-net in base 8	[i]
6	(73, 100, 674)-net in base 8	[i]
7	(77, 104, 772)-net in base 8	[i]
8	(79, 106, 814)-net in base 8	[i]
9	OOA(8⁷², 514, S₈, 2, 27)	[i]		Extracting Embedded OOA
10	OOA(8⁷², 514, S₈, 3, 27)	[i]		Extracting Embedded OOA