MinT - Information on Result #599517

Information on Result #599517

There is no digital (52, 212, 217)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4²¹², 217, F₄, 160) (dual of [217, 5, 161]-code), but

residual code [i] would yield linear OA(4⁵², 56, F₄, 40) (dual of [56, 4, 41]-code), but
- a result by Hill and Landjev [i]
- improvement by Maruta on the Griesmer bound [i]

Mode: Bound (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		Method
1	No digital (52, 213, 217)-net over F₄	[i]	m-Reduction
2	No digital (52, 214, 217)-net over F₄	[i]
3	No digital (52, 215, 217)-net over F₄	[i]
4	No digital (52, 216, 217)-net over F₄	[i]
5	No digital (52, 217, 217)-net over F₄	[i]
6	No digital (52, 218, 217)-net over F₄	[i]
7	No digital (52, 219, 217)-net over F₄	[i]
8	No digital (52, 220, 217)-net over F₄	[i]
9	No digital (52, 221, 217)-net over F₄	[i]
10	No digital (52, 222, 217)-net over F₄	[i]
11	No digital (52, 223, 217)-net over F₄	[i]
12	No digital (52, 224, 217)-net over F₄	[i]
13	No digital (52, 225, 217)-net over F₄	[i]
14	No digital (52, 226, 217)-net over F₄	[i]
15	No digital (52, 227, 217)-net over F₄	[i]
16	No digital (52, 228, 217)-net over F₄	[i]
17	No digital (52, 229, 217)-net over F₄	[i]
18	No digital (52, 230, 217)-net over F₄	[i]
19	No digital (52, 231, 217)-net over F₄	[i]
20	No digital (52, 232, 217)-net over F₄	[i]
21	No digital (52, 233, 217)-net over F₄	[i]
22	No digital (52, 234, 217)-net over F₄	[i]
23	No digital (52, 235, 217)-net over F₄	[i]
24	No digital (52, 236, 217)-net over F₄	[i]
25	No digital (52, 237, 217)-net over F₄	[i]
26	No digital (52, 238, 217)-net over F₄	[i]
27	No digital (52, 239, 217)-net over F₄	[i]
28	No digital (52, 240, 217)-net over F₄	[i]
29	No digital (52, 241, 217)-net over F₄	[i]
30	No digital (52, 242, 217)-net over F₄	[i]
31	No digital (52, 243, 217)-net over F₄	[i]
32	No digital (52, 244, 217)-net over F₄	[i]
33	No digital (52, 245, 217)-net over F₄	[i]
34	No digital (52, 246, 217)-net over F₄	[i]
35	No digital (52, 247, 217)-net over F₄	[i]
36	No digital (52, 248, 217)-net over F₄	[i]
37	No digital (52, 249, 217)-net over F₄	[i]
38	No digital (52, 250, 217)-net over F₄	[i]
39	No digital (52, 251, 217)-net over F₄	[i]
40	No digital (52, 252, 217)-net over F₄	[i]
41	No digital (52, 253, 217)-net over F₄	[i]
42	No digital (52, 254, 217)-net over F₄	[i]
43	No digital (52, 255, 217)-net over F₄	[i]
44	No digital (52, 256, 217)-net over F₄	[i]
45	No digital (52, 257, 217)-net over F₄	[i]
46	No digital (52, 258, 217)-net over F₄	[i]
47	No digital (52, 259, 217)-net over F₄	[i]
48	No digital (52, 260, 217)-net over F₄	[i]