MinT - Information on Result #599184

Information on Result #599184

There is no digital (69, 210, 218)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3²¹⁰, 218, F₃, 141) (dual of [218, 8, 142]-code), but

residual code [i] would yield linear OA(3⁶⁹, 76, F₃, 47) (dual of [76, 7, 48]-code), but
- 2 times truncation [i] would yield linear OA(3⁶⁷, 74, F₃, 45) (dual of [74, 7, 46]-code), but
  - residual code [i] would yield linear OA(3²², 28, F₃, 15) (dual of [28, 6, 16]-code), but
    - â€œHHMâ€ 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 (69, 211, 218)-net over F₃	[i]	m-Reduction
2	No digital (69, 212, 218)-net over F₃	[i]
3	No digital (69, 213, 218)-net over F₃	[i]
4	No digital (69, 214, 218)-net over F₃	[i]
5	No digital (69, 215, 218)-net over F₃	[i]
6	No digital (69, 216, 218)-net over F₃	[i]
7	No digital (69, 217, 218)-net over F₃	[i]
8	No digital (69, 218, 218)-net over F₃	[i]
9	No digital (69, 219, 218)-net over F₃	[i]
10	No digital (69, 220, 218)-net over F₃	[i]
11	No digital (69, 221, 218)-net over F₃	[i]
12	No digital (69, 222, 218)-net over F₃	[i]
13	No digital (69, 223, 218)-net over F₃	[i]
14	No digital (69, 224, 218)-net over F₃	[i]
15	No digital (69, 225, 218)-net over F₃	[i]
16	No digital (69, 226, 218)-net over F₃	[i]
17	No digital (69, 227, 218)-net over F₃	[i]
18	No digital (69, 228, 218)-net over F₃	[i]
19	No digital (69, 229, 218)-net over F₃	[i]
20	No digital (69, 230, 218)-net over F₃	[i]
21	No digital (69, 231, 218)-net over F₃	[i]
22	No digital (69, 232, 218)-net over F₃	[i]
23	No digital (69, 233, 218)-net over F₃	[i]
24	No digital (69, 234, 218)-net over F₃	[i]
25	No digital (69, 235, 218)-net over F₃	[i]
26	No digital (69, 236, 218)-net over F₃	[i]
27	No digital (69, 237, 218)-net over F₃	[i]
28	No digital (69, 238, 218)-net over F₃	[i]
29	No digital (69, 239, 218)-net over F₃	[i]
30	No digital (69, 240, 218)-net over F₃	[i]
31	No digital (69, 241, 218)-net over F₃	[i]
32	No digital (69, 242, 218)-net over F₃	[i]
33	No digital (69, 243, 218)-net over F₃	[i]
34	No digital (69, 244, 218)-net over F₃	[i]
35	No digital (69, 245, 218)-net over F₃	[i]
36	No digital (69, 246, 218)-net over F₃	[i]
37	No digital (69, 247, 218)-net over F₃	[i]
38	No digital (69, 248, 218)-net over F₃	[i]
39	No digital (69, 249, 218)-net over F₃	[i]
40	No digital (69, 250, 218)-net over F₃	[i]