MinT - Information on Result #1825410

Information on Result #1825410

(4, 16, 257)-net in base 64, using base change based on digital (0, 12, 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	(4, 15, 257)-net in base 64	[i]		m-Reduction
2	(4, 14, 257)-net in base 64	[i]
3	(4, 13, 257)-net in base 64	[i]
4	(10, 22, 322)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
5	(23, 47, 354)-net in base 64	[i]
6	(26, 50, 515)-net in base 64	[i]
7	(23, 48, 354)-net in base 64	[i]
8	(24, 49, 384)-net in base 64	[i]
9	(25, 50, 514)-net in base 64	[i]
10	(26, 51, 515)-net in base 64	[i]
11	(31, 56, 545)-net in base 64	[i]
12	OOA(64¹⁶, 257, S₆₄, 2, 12)	[i]		Extracting Embedded OOA
13	OOA(64¹⁶, 257, S₆₄, 3, 12)	[i]		Extracting Embedded OOA