MinT - Information on Result #3274536

Information on Result #3274536

(7, 26, 257)-net in base 64, using 2 times m-reduction based on (7, 28, 257)-net in base 64, using

base change [i] 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	(16, 35, 322)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
2	(17, 36, 337)-net in base 64	[i]
3	(19, 38, 514)-net in base 64	[i]
4	(40, 78, 515)-net in base 64	[i]
5	(43, 81, 545)-net in base 64	[i]
6	(39, 78, 514)-net in base 64	[i]
7	(43, 82, 545)-net in base 64	[i]
8	OOA(64²⁶, 257, S₆₄, 2, 19)	[i]		Extracting Embedded OOA
9	OOA(64²⁶, 257, S₆₄, 3, 19)	[i]		Extracting Embedded OOA