MinT - Information on Result #1826280

Information on Result #1826280

(30, 72, 288)-net in base 32, using base change based on (18, 60, 288)-net in base 64, using

3 times m-reduction [i] based on (18, 63, 288)-net in base 64, using
- base change [i] based on digital (9, 54, 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	(30, 71, 288)-net in base 32	[i]		m-Reduction
2	(30, 70, 288)-net in base 32	[i]
3	(30, 69, 288)-net in base 32	[i]
4	(30, 68, 288)-net in base 32	[i]
5	(30, 67, 288)-net in base 32	[i]
6	(30, 66, 288)-net in base 32	[i]
7	(30, 65, 288)-net in base 32	[i]
8	(30, 64, 288)-net in base 32	[i]
9	(30, 63, 288)-net in base 32	[i]
10	(30, 62, 288)-net in base 32	[i]
11	(30, 61, 288)-net in base 32	[i]
12	(30, 60, 288)-net in base 32	[i]
13	(30, 59, 288)-net in base 32	[i]
14	(30, 58, 288)-net in base 32	[i]
15	(30, 57, 288)-net in base 32	[i]
16	(65, 107, 545)-net in base 32	[i]		(u,Â u+v)-Construction for Nets
17	(66, 108, 546)-net in base 32	[i]
18	(68, 110, 547)-net in base 32	[i]
19	OOA(32⁷², 288, S₃₂, 2, 42)	[i]		Extracting Embedded OOA