MinT - Information on Result #1826118

Information on Result #1826118

(72, 110, 576)-net in base 8, using trace code for nets based on (17, 55, 288)-net in base 64, using

1 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	(72, 109, 576)-net in base 8	[i]		m-Reduction
2	(72, 108, 576)-net in base 8	[i]
3	(72, 107, 576)-net in base 8	[i]
4	(72, 106, 576)-net in base 8	[i]
5	(72, 105, 576)-net in base 8	[i]
6	(72, 104, 576)-net in base 8	[i]
7	(72, 103, 576)-net in base 8	[i]
8	(72, 102, 576)-net in base 8	[i]
9	(72, 101, 576)-net in base 8	[i]
10	(72, 100, 576)-net in base 8	[i]
11	(91, 129, 585)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
12	(92, 130, 590)-net in base 8	[i]
13	(93, 131, 593)-net in base 8	[i]
14	(124, 162, 1090)-net in base 8	[i]
15	(126, 164, 1092)-net in base 8	[i]
16	OOA(8¹¹⁰, 576, S₈, 2, 38)	[i]		Extracting Embedded OOA
17	OOA(8¹¹⁰, 576, S₈, 3, 38)	[i]		Extracting Embedded OOA