MinT - Information on Result #3274504

Information on Result #3274504

(5, 19, 257)-net in base 64, using 1 times m-reduction based on (5, 20, 257)-net in base 64, using

base change [i] 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	(24, 38, 514)-net in base 8	[i]		Trace Code for Nets
2	(12, 26, 322)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
3	(26, 54, 354)-net in base 64	[i]
4	(30, 58, 515)-net in base 64	[i]
5	(35, 63, 545)-net in base 64	[i]
6	(26, 55, 354)-net in base 64	[i]
7	(29, 58, 514)-net in base 64	[i]
8	(30, 59, 515)-net in base 64	[i]
9	(35, 64, 545)-net in base 64	[i]
10	OOA(64¹⁹, 257, S₆₄, 2, 14)	[i]		Extracting Embedded OOA
11	OOA(64¹⁹, 257, S₆₄, 3, 14)	[i]		Extracting Embedded OOA