MinT - Information on Result #1826106

Information on Result #1826106

(70, 106, 576)-net in base 8, using trace code for nets based on (17, 53, 288)-net in base 64, using

3 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	(70, 105, 576)-net in base 8	[i]		m-Reduction
2	(70, 104, 576)-net in base 8	[i]
3	(70, 103, 576)-net in base 8	[i]
4	(70, 102, 576)-net in base 8	[i]
5	(70, 101, 576)-net in base 8	[i]
6	(70, 100, 576)-net in base 8	[i]
7	(70, 99, 576)-net in base 8	[i]
8	(70, 98, 576)-net in base 8	[i]
9	(88, 124, 585)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
10	(89, 125, 590)-net in base 8	[i]
11	(90, 126, 593)-net in base 8	[i]
12	(91, 127, 600)-net in base 8	[i]
13	(118, 154, 1090)-net in base 8	[i]
14	OOA(8¹⁰⁶, 576, S₈, 2, 36)	[i]		Extracting Embedded OOA
15	OOA(8¹⁰⁶, 576, S₈, 3, 36)	[i]		Extracting Embedded OOA