MinT - Information on Result #1825427

Information on Result #1825427

(7, 28, 257)-net in base 64, using base change 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	(7, 27, 257)-net in base 64	[i]		m-Reduction
2	(7, 26, 257)-net in base 64	[i]
3	(7, 25, 257)-net in base 64	[i]
4	(17, 38, 322)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
5	(18, 39, 337)-net in base 64	[i]
6	(19, 40, 386)-net in base 64	[i]
7	(21, 42, 514)-net in base 64	[i]
8	(44, 86, 515)-net in base 64	[i]
9	(46, 88, 545)-net in base 64	[i]
10	(43, 86, 514)-net in base 64	[i]
11	(44, 87, 515)-net in base 64	[i]
12	(46, 89, 545)-net in base 64	[i]
13	OOA(64²⁸, 257, S₆₄, 2, 21)	[i]		Extracting Embedded OOA
14	OOA(64²⁸, 257, S₆₄, 3, 21)	[i]		Extracting Embedded OOA