MinT - Information on Result #1826111

Information on Result #1826111

(71, 108, 576)-net in base 8, using trace code for nets based on (17, 54, 288)-net in base 64, using

2 times m-reduction [i] 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	(71, 107, 576)-net in base 8	[i]		m-Reduction
2	(71, 106, 576)-net in base 8	[i]
3	(71, 105, 576)-net in base 8	[i]
4	(71, 104, 576)-net in base 8	[i]
5	(71, 103, 576)-net in base 8	[i]
6	(71, 102, 576)-net in base 8	[i]
7	(71, 101, 576)-net in base 8	[i]
8	(71, 100, 576)-net in base 8	[i]
9	(71, 99, 576)-net in base 8	[i]
10	(89, 126, 585)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
11	(90, 127, 590)-net in base 8	[i]
12	(91, 128, 593)-net in base 8	[i]
13	(92, 129, 600)-net in base 8	[i]
14	(119, 156, 1090)-net in base 8	[i]
15	(123, 160, 1092)-net in base 8	[i]
16	OOA(8¹⁰⁸, 576, S₈, 2, 37)	[i]		Extracting Embedded OOA
17	OOA(8¹⁰⁸, 576, S₈, 3, 37)	[i]		Extracting Embedded OOA