MinT - Information on Result #1825414

Information on Result #1825414

(5, 20, 257)-net in base 64, using base change based on digital (0, 15, 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	(5, 19, 257)-net in base 64	[i]		m-Reduction
2	(5, 18, 257)-net in base 64	[i]
3	(5, 17, 257)-net in base 64	[i]
4	(12, 27, 322)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
5	(13, 28, 337)-net in base 64	[i]
6	(27, 57, 354)-net in base 64	[i]
7	(32, 62, 515)-net in base 64	[i]
8	(36, 66, 545)-net in base 64	[i]
9	(27, 58, 354)-net in base 64	[i]
10	(31, 62, 514)-net in base 64	[i]
11	(32, 63, 515)-net in base 64	[i]
12	(36, 67, 545)-net in base 64	[i]
13	OOA(64²⁰, 257, S₆₄, 2, 15)	[i]		Extracting Embedded OOA
14	OOA(64²⁰, 257, S₆₄, 3, 15)	[i]		Extracting Embedded OOA