MinT - Information on Result #1826317

Information on Result #1826317

(8, 21, 257)-net in base 32, using base change based on (2, 15, 257)-net in base 128, using

1 times m-reduction [i] 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, 20, 257)-net in base 32	[i]		m-Reduction
2	(8, 19, 257)-net in base 32	[i]		m-Reduction
3	(14, 27, 290)-net in base 32	[i]		(u,Â u+v)-Construction for Nets
4	(15, 28, 301)-net in base 32	[i]
5	(16, 29, 322)-net in base 32	[i]
6	(35, 61, 354)-net in base 32	[i]
7	(36, 62, 384)-net in base 32	[i]
8	(42, 68, 517)-net in base 32	[i]
9	(43, 69, 518)-net in base 32	[i]
10	(44, 70, 545)-net in base 32	[i]
11	(35, 62, 354)-net in base 32	[i]
12	(36, 63, 384)-net in base 32	[i]
13	(40, 67, 515)-net in base 32	[i]
14	(41, 68, 516)-net in base 32	[i]
15	(42, 69, 517)-net in base 32	[i]
16	(46, 73, 545)-net in base 32	[i]
17	OOA(32²¹, 257, S₃₂, 2, 13)	[i]		Extracting Embedded OOA