MinT - Information on Result #795971

Information on Result #795971

Digital (172, 216, 1539)-net over F₄, using trace code for nets based on digital (28, 72, 513)-net over F₆₄, using

net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
  - the Hermitian function field over F₆₄ [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 (173, 216, 1539)-net over F₄	[i]		t-Expansion
2	Digital (173, 217, 1539)-net over F₄	[i]		Net Duplication
3	Digital (172, 215, 1539)-net over F₄	[i]		m-Reduction
4	Digital (172, 214, 1539)-net over F₄	[i]
5	Digital (172, 213, 1539)-net over F₄	[i]
6	Digital (172, 212, 1539)-net over F₄	[i]
7	Digital (172, 211, 1539)-net over F₄	[i]
8	Digital (172, 210, 1539)-net over F₄	[i]
9	Digital (172, 209, 1539)-net over F₄	[i]
10	Digital (172, 208, 1539)-net over F₄	[i]
11	Digital (194, 238, 1544)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
12	Digital (195, 239, 1548)-net over F₄	[i]
13	Digital (196, 240, 1549)-net over F₄	[i]
14	Digital (197, 241, 1553)-net over F₄	[i]
15	Digital (198, 242, 1554)-net over F₄	[i]
16	Digital (199, 243, 1556)-net over F₄	[i]
17	Digital (201, 245, 1560)-net over F₄	[i]
18	Digital (203, 247, 1561)-net over F₄	[i]
19	Digital (204, 248, 1566)-net over F₄	[i]
20	Digital (206, 250, 1567)-net over F₄	[i]
21	Digital (207, 251, 1569)-net over F₄	[i]
22	Digital (209, 253, 1572)-net over F₄	[i]
23	Digital (215, 259, 1574)-net over F₄	[i]
24	Digital (216, 260, 1575)-net over F₄	[i]
25	Linear OOA(4²¹⁶, 1539, F₄, 3, 44) (dual of [(1539, 3), 4401, 45]-NRT-code)	[i]		Extracting Embedded OOA