MinT - Information on Result #3274469

Information on Result #3274469

(3, 17, 129)-net in base 64, using 4 times m-reduction based on (3, 21, 129)-net in base 64, using

base change [i] based on digital (0, 18, 129)-net over F₁₂₈, using
- net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
    - the rational function field F₁₂₈(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	(37, 51, 387)-net in base 4	[i]		Trace Code for Nets
2	(20, 34, 258)-net in base 8	[i]		Trace Code for Nets
3	(24, 52, 306)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
4	(27, 55, 386)-net in base 64	[i]
5	(24, 53, 306)-net in base 64	[i]
6	(27, 56, 386)-net in base 64	[i]
7	OOA(64¹⁷, 129, S₆₄, 2, 14)	[i]		Extracting Embedded OOA
8	OOA(64¹⁷, 129, S₆₄, 3, 14)	[i]		Extracting Embedded OOA