MinT - Information on Result #1825999

Information on Result #1825999

(34, 54, 514)-net in base 8, using trace code for nets based on (7, 27, 257)-net in base 64, using

1 times m-reduction [i] based on (7, 28, 257)-net in base 64, using
- base change [i] based on digital (0, 21, 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	(34, 53, 514)-net in base 8	[i]		m-Reduction
2	(44, 64, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
3	(45, 65, 528)-net in base 8	[i]
4	(46, 66, 531)-net in base 8	[i]
5	(47, 67, 538)-net in base 8	[i]
6	(53, 73, 579)-net in base 8	[i]
7	(54, 74, 644)-net in base 8	[i]
8	(56, 76, 674)-net in base 8	[i]
9	OOA(8⁵⁴, 514, S₈, 2, 20)	[i]		Extracting Embedded OOA
10	OOA(8⁵⁴, 514, S₈, 3, 20)	[i]		Extracting Embedded OOA