MinT - Information on Result #1824738

Information on Result #1824738

(2, 16, 257)-net in base 128, using base change based on digital (0, 14, 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	(2, 15, 257)-net in base 128	[i]		m-Reduction
2	(2, 14, 257)-net in base 128	[i]
3	(2, 13, 257)-net in base 128	[i]
4	(2, 12, 257)-net in base 128	[i]
5	(2, 11, 257)-net in base 128	[i]
6	(2, 10, 257)-net in base 128	[i]
7	(2, 9, 257)-net in base 128	[i]
8	(9, 23, 386)-net in base 128	[i]		(u,Â u+v)-Construction for Nets
9	(19, 47, 384)-net in base 128	[i]
10	(22, 50, 515)-net in base 128	[i]
11	(23, 51, 516)-net in base 128	[i]
12	(24, 52, 517)-net in base 128	[i]
13	(25, 53, 545)-net in base 128	[i]
14	(19, 48, 384)-net in base 128	[i]
15	(21, 50, 514)-net in base 128	[i]
16	(22, 51, 515)-net in base 128	[i]
17	(23, 52, 516)-net in base 128	[i]
18	(24, 53, 517)-net in base 128	[i]
19	(25, 54, 545)-net in base 128	[i]
20	OOA(128¹⁶, 257, S₁₂₈, 2, 14)	[i]		Extracting Embedded OOA
21	OOA(128¹⁶, 257, S₁₂₈, 3, 14)	[i]
22	OOA(128¹⁶, 257, S₁₂₈, 4, 14)	[i]