MinT - Information on Result #1823304

Information on Result #1823304

(105, 156, 84)-net in base 2, using trace code for nets based on (27, 78, 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	(105, 155, 84)-net in base 2	[i]		m-Reduction
2	(105, 154, 84)-net in base 2	[i]
3	(105, 153, 84)-net in base 2	[i]
4	(105, 152, 84)-net in base 2	[i]
5	(105, 151, 84)-net in base 2	[i]
6	OOA(2¹⁵⁶, 84, S₂, 4, 51)	[i]		Extracting Embedded OOA
7	OOA(2¹⁵⁶, 84, S₂, 5, 51)	[i]
8	OOA(2¹⁵⁶, 84, S₂, 6, 51)	[i]
9	OOA(2¹⁵⁶, 84, S₂, 7, 51)	[i]
10	OOA(2¹⁵⁶, 84, S₂, 8, 51)	[i]