MinT - Information on Result #3275136

Information on Result #3275136

(1, 7, 257)-net in base 128, using 1 times m-reduction based on (1, 8, 257)-net in base 128, using

base change [i] based on digital (0, 7, 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	(4, 10, 386)-net in base 128	[i]		(u,Â u+v)-Construction for Nets
2	(9, 21, 514)-net in base 128	[i]
3	(10, 22, 515)-net in base 128	[i]
4	(34, 46, 1398357)-net in base 128	[i]
5	(64, 76, 4194558)-net in base 128	[i]
6	(9, 22, 514)-net in base 128	[i]
7	(10, 23, 515)-net in base 128	[i]
8	(23, 36, 11179)-net in base 128	[i]
9	(37, 50, 1398357)-net in base 128	[i]
10	(10, 23, 546)-net in base 128	[i]
11	OOA(128⁷, 257, S₁₂₈, 2, 6)	[i]		Extracting Embedded OOA
12	OOA(128⁷, 257, S₁₂₈, 3, 6)	[i]
13	OOA(128⁷, 257, S₁₂₈, 4, 6)	[i]