MinT - Information on Result #3274487

Information on Result #3274487

(4, 14, 257)-net in base 64, using 2 times m-reduction based on (4, 16, 257)-net in base 64, using

base change [i] 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	(22, 42, 515)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
2	(71, 91, 839117)-net in base 64	[i]
3	(21, 42, 514)-net in base 64	[i]
4	OOA(64¹⁴, 257, S₆₄, 2, 10)	[i]		Extracting Embedded OOA
5	OOA(64¹⁴, 257, S₆₄, 3, 10)	[i]		Extracting Embedded OOA