MinT - Information on Result #3275147

Information on Result #3275147

(3, 22, 257)-net in base 128, using 2 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	(12, 31, 386)-net in base 128	[i]		(u,Â u+v)-Construction for Nets
2	(27, 65, 432)-net in base 128	[i]
3	(28, 66, 514)-net in base 128	[i]
4	(29, 67, 515)-net in base 128	[i]
5	(31, 69, 545)-net in base 128	[i]
6	(27, 66, 432)-net in base 128	[i]
7	(28, 67, 514)-net in base 128	[i]
8	(29, 68, 515)-net in base 128	[i]
9	(31, 70, 545)-net in base 128	[i]
10	OOA(128²², 257, S₁₂₈, 2, 19)	[i]		Extracting Embedded OOA
11	OOA(128²², 257, S₁₂₈, 3, 19)	[i]
12	OOA(128²², 257, S₁₂₈, 4, 19)	[i]