MinT - Information on Result #599538

Information on Result #599538

There is no digital (55, 223, 230)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4²²³, 230, F₄, 168) (dual of [230, 7, 169]-code), but

residual code [i] would yield linear OA(4⁵⁵, 61, F₄, 42) (dual of [61, 6, 43]-code), but
- 2 times truncation [i] would yield linear OA(4⁵³, 59, F₄, 40) (dual of [59, 6, 41]-code), but
  - residual code [i] would yield linear OA(4¹³, 18, F₄, 10) (dual of [18, 5, 11]-code), but
    - â€œLizâ€ bound on codes from Brouwerâ€™s database [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 (55, 224, 230)-net over F₄	[i]	m-Reduction
2	No digital (55, 225, 230)-net over F₄	[i]
3	No digital (55, 226, 230)-net over F₄	[i]
4	No digital (55, 227, 230)-net over F₄	[i]
5	No digital (55, 228, 230)-net over F₄	[i]
6	No digital (55, 229, 230)-net over F₄	[i]
7	No digital (55, 230, 230)-net over F₄	[i]
8	No digital (55, 231, 230)-net over F₄	[i]
9	No digital (55, 232, 230)-net over F₄	[i]
10	No digital (55, 233, 230)-net over F₄	[i]
11	No digital (55, 234, 230)-net over F₄	[i]
12	No digital (55, 235, 230)-net over F₄	[i]
13	No digital (55, 236, 230)-net over F₄	[i]
14	No digital (55, 237, 230)-net over F₄	[i]
15	No digital (55, 238, 230)-net over F₄	[i]
16	No digital (55, 239, 230)-net over F₄	[i]
17	No digital (55, 240, 230)-net over F₄	[i]
18	No digital (55, 241, 230)-net over F₄	[i]
19	No digital (55, 242, 230)-net over F₄	[i]
20	No digital (55, 243, 230)-net over F₄	[i]
21	No digital (55, 244, 230)-net over F₄	[i]
22	No digital (55, 245, 230)-net over F₄	[i]
23	No digital (55, 246, 230)-net over F₄	[i]
24	No digital (55, 247, 230)-net over F₄	[i]
25	No digital (55, 248, 230)-net over F₄	[i]
26	No digital (55, 249, 230)-net over F₄	[i]
27	No digital (55, 250, 230)-net over F₄	[i]
28	No digital (55, 251, 230)-net over F₄	[i]
29	No digital (55, 252, 230)-net over F₄	[i]
30	No digital (55, 253, 230)-net over F₄	[i]
31	No digital (55, 254, 230)-net over F₄	[i]
32	No digital (55, 255, 230)-net over F₄	[i]
33	No digital (55, 256, 230)-net over F₄	[i]
34	No digital (55, 257, 230)-net over F₄	[i]
35	No digital (55, 258, 230)-net over F₄	[i]
36	No digital (55, 259, 230)-net over F₄	[i]
37	No digital (55, 260, 230)-net over F₄	[i]