MinT - Information on Result #1825162

Information on Result #1825162

(21, 56, 172)-net in base 27, using base change based on digital (7, 42, 172)-net over F₈₁, using

net from sequence [i] based on digital (7, 171)-sequence over F₈₁, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172, using
  - a function field by SÃ©mirat [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	(21, 55, 172)-net in base 27	[i]		m-Reduction
2	(21, 54, 172)-net in base 27	[i]
3	(21, 53, 172)-net in base 27	[i]
4	(21, 52, 172)-net in base 27	[i]
5	(21, 51, 172)-net in base 27	[i]
6	(21, 50, 172)-net in base 27	[i]
7	(21, 49, 172)-net in base 27	[i]
8	(21, 48, 172)-net in base 27	[i]
9	(21, 47, 172)-net in base 27	[i]
10	(21, 46, 172)-net in base 27	[i]
11	(21, 45, 172)-net in base 27	[i]
12	(21, 44, 172)-net in base 27	[i]
13	(21, 43, 172)-net in base 27	[i]
14	(21, 42, 172)-net in base 27	[i]
15	(21, 41, 172)-net in base 27	[i]
16	OOA(27⁵⁶, 172, S₂₇, 2, 35)	[i]		Extracting Embedded OOA