MinT - Information on Result #1823468

Information on Result #1823468

(157, 260, 84)-net in base 2, using trace code for nets based on (27, 130, 42)-net in base 4, using

net from sequence [i] based on (27, 41)-sequence in base 4, using
- base expansion [i] based on digital (54, 41)-sequence over F₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
    - an explicitly constructive algebraic function field [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	(158, 260, 84)-net in base 2	[i]		t-Expansion
2	(157, 259, 84)-net in base 2	[i]		m-Reduction
3	(157, 258, 84)-net in base 2	[i]
4	(157, 257, 84)-net in base 2	[i]
5	OOA(2²⁶⁰, 84, S₂, 5, 103)	[i]		Extracting Embedded OOA
6	OOA(2²⁶⁰, 84, S₂, 6, 103)	[i]
7	OOA(2²⁶⁰, 84, S₂, 7, 103)	[i]
8	OOA(2²⁶⁰, 84, S₂, 8, 103)	[i]