MinT - Information on Result #1823529

Information on Result #1823529

(10, 16, 514)-net in base 8, using base change based on digital (6, 12, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 6, 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	(11, 17, 514)-net in base 8	[i]		Net Duplication
2	(12, 18, 514)-net in base 8	[i]		Net Duplication
3	(13, 19, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
4	(14, 20, 579)-net in base 8	[i]
5	(94, 106, 2796714)-net in base 8	[i]
6	(101, 114, 2796714)-net in base 8	[i]
7	OOA(8¹⁶, 514, S₈, 2, 6)	[i]		Extracting Embedded OOA
8	OOA(8¹⁶, 514, S₈, 3, 6)	[i]		Extracting Embedded OOA