MinT - Information on Result #3275146

Information on Result #3275146

(3, 23, 257)-net in base 128, using 1 times m-reduction based on (3, 24, 257)-net in base 128, 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	(13, 33, 386)-net in base 128	[i]		(u,Â u+v)-Construction for Nets
2	(14, 34, 407)-net in base 128	[i]
3	(15, 35, 514)-net in base 128	[i]
4	(28, 68, 432)-net in base 128	[i]
5	(29, 69, 514)-net in base 128	[i]
6	(30, 70, 515)-net in base 128	[i]
7	(32, 72, 545)-net in base 128	[i]
8	(28, 69, 432)-net in base 128	[i]
9	(29, 70, 514)-net in base 128	[i]
10	(30, 71, 515)-net in base 128	[i]
11	(32, 73, 545)-net in base 128	[i]
12	OOA(128²³, 257, S₁₂₈, 2, 20)	[i]		Extracting Embedded OOA
13	OOA(128²³, 257, S₁₂₈, 3, 20)	[i]
14	OOA(128²³, 257, S₁₂₈, 4, 20)	[i]