MinT - Information on Result #797534

Information on Result #797534

Digital (21, 42, 100)-net over F₇, using trace code for nets based on digital (0, 21, 50)-net over F₄₉, using

net from sequence [i] based on digital (0, 49)-sequence over F₄₉, using
- generalized Faure sequence [i]
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 0 and N(F) ≥ 50, using
  - the rational function field F₄₉(x) [i]
- Niederreiter sequence [i]

Mode: Constructive and linear.

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	Digital (21, 41, 100)-net over F₇	[i]		m-Reduction
2	Digital (32, 53, 113)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
3	Digital (34, 55, 114)-net over F₇	[i]
4	Digital (35, 56, 116)-net over F₇	[i]
5	Digital (36, 57, 118)-net over F₇	[i]
6	Digital (37, 58, 121)-net over F₇	[i]
7	Digital (38, 59, 126)-net over F₇	[i]
8	Digital (40, 61, 150)-net over F₇	[i]
9	Digital (41, 62, 200)-net over F₇	[i]
10	Digital (59, 80, 258)-net over F₇	[i]		Generalized (u,Â u+v)-Construction for Nets
11	Digital (60, 81, 263)-net over F₇	[i]
12	Digital (60, 81, 308)-net over F₇	[i]
13	Digital (48, 69, 208)-net over F₇	[i]
14	Digital (49, 70, 213)-net over F₇	[i]
15	Digital (54, 75, 250)-net over F₇	[i]
16	Digital (55, 76, 300)-net over F₇	[i]
17	Linear OOA(7⁴², 100, F₇, 2, 21) (dual of [(100, 2), 158, 22]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(7⁴², 100, F₇, 3, 21) (dual of [(100, 3), 258, 22]-NRT-code)	[i]		Extracting Embedded OOA