MinT - Information on Result #1826127

Information on Result #1826127

(73, 112, 576)-net in base 8, using trace code for nets based on (17, 56, 288)-net in base 64, using

base change [i] based on digital (9, 48, 288)-net over F₁₂₈, using
- net from sequence [i] based on digital (9, 287)-sequence over F₁₂₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288, 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	(74, 112, 576)-net in base 8	[i]		t-Expansion
2	(75, 112, 576)-net in base 8	[i]		t-Expansion
3	(74, 113, 576)-net in base 8	[i]		Net Duplication
4	(75, 114, 576)-net in base 8	[i]		Net Duplication
5	(73, 111, 576)-net in base 8	[i]		m-Reduction
6	(73, 110, 576)-net in base 8	[i]
7	(73, 109, 576)-net in base 8	[i]
8	(73, 108, 576)-net in base 8	[i]
9	(73, 107, 576)-net in base 8	[i]
10	(73, 106, 576)-net in base 8	[i]
11	(73, 105, 576)-net in base 8	[i]
12	(73, 104, 576)-net in base 8	[i]
13	(73, 103, 576)-net in base 8	[i]
14	(73, 102, 576)-net in base 8	[i]
15	(73, 101, 576)-net in base 8	[i]
16	(92, 131, 585)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
17	(93, 132, 590)-net in base 8	[i]
18	(94, 133, 593)-net in base 8	[i]
19	(125, 164, 1090)-net in base 8	[i]
20	(127, 166, 1092)-net in base 8	[i]
21	(129, 168, 1094)-net in base 8	[i]
22	OOA(8¹¹², 576, S₈, 2, 39)	[i]		Extracting Embedded OOA
23	OOA(8¹¹², 576, S₈, 3, 39)	[i]		Extracting Embedded OOA