MinT - Information on Result #1825285

Information on Result #1825285

(63, 108, 730)-net in base 27, using base change based on digital (36, 81, 730)-net over F₈₁, using

net from sequence [i] based on digital (36, 729)-sequence over F₈₁, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 36 and N(F) ≥ 730, using
  - the Hermitian function field over F₈₁ [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	(64, 108, 730)-net in base 27	[i]		t-Expansion
2	(65, 108, 730)-net in base 27	[i]
3	(66, 108, 730)-net in base 27	[i]
4	(67, 108, 730)-net in base 27	[i]
5	(68, 108, 730)-net in base 27	[i]
6	(69, 108, 730)-net in base 27	[i]
7	(70, 108, 730)-net in base 27	[i]
8	(64, 109, 730)-net in base 27	[i]		Net Duplication
9	(65, 110, 730)-net in base 27	[i]		Net Duplication
10	(63, 107, 730)-net in base 27	[i]		m-Reduction
11	(63, 106, 730)-net in base 27	[i]
12	(63, 105, 730)-net in base 27	[i]
13	(63, 104, 730)-net in base 27	[i]
14	(63, 103, 730)-net in base 27	[i]
15	(63, 102, 730)-net in base 27	[i]
16	(63, 101, 730)-net in base 27	[i]
17	(63, 100, 730)-net in base 27	[i]
18	(63, 99, 730)-net in base 27	[i]
19	(63, 98, 730)-net in base 27	[i]
20	OOA(27¹⁰⁸, 730, S₂₇, 2, 45)	[i]		Extracting Embedded OOA