MinT - Information on Result #3275139

Information on Result #3275139

(2, 15, 257)-net in base 128, using 1 times m-reduction based on (2, 16, 257)-net in base 128, using

base change [i] 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	(8, 21, 386)-net in base 128	[i]		(u,Â u+v)-Construction for Nets
2	(9, 22, 514)-net in base 128	[i]
3	(18, 44, 384)-net in base 128	[i]
4	(19, 45, 514)-net in base 128	[i]
5	(20, 46, 515)-net in base 128	[i]
6	(24, 50, 545)-net in base 128	[i]
7	(48, 74, 5298)-net in base 128	[i]
8	(18, 45, 384)-net in base 128	[i]
9	(19, 46, 514)-net in base 128	[i]
10	(20, 47, 515)-net in base 128	[i]
11	(24, 51, 545)-net in base 128	[i]
12	(49, 76, 5298)-net in base 128	[i]
13	OOA(128¹⁵, 257, S₁₂₈, 2, 13)	[i]		Extracting Embedded OOA
14	OOA(128¹⁵, 257, S₁₂₈, 3, 13)	[i]
15	OOA(128¹⁵, 257, S₁₂₈, 4, 13)	[i]
16	(8, 21, 257)-net in base 32	[i]		Base Change