MinT - Information on Result #3274514

Information on Result #3274514

(6, 38, 129)-net in base 64, using 4 times m-reduction based on (6, 42, 129)-net in base 64, using

base change [i] based on digital (0, 36, 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	(82, 114, 387)-net in base 4	[i]		Trace Code for Nets
2	(44, 76, 258)-net in base 8	[i]		Trace Code for Nets
3	OOA(64³⁸, 129, S₆₄, 2, 32)	[i]		Extracting Embedded OOA
4	OOA(64³⁸, 129, S₆₄, 3, 32)	[i]		Extracting Embedded OOA