MinT - Information on Result #598975

Information on Result #598975

There is no digital (23, 71, 78)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3⁷¹, 78, F₃, 48) (dual of [78, 7, 49]-code), but

residual code [i] would yield linear OA(3²³, 29, F₃, 16) (dual of [29, 6, 17]-code), but
- 1 times truncation [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 (23, 72, 78)-net over F₃	[i]	m-Reduction
2	No digital (23, 73, 78)-net over F₃	[i]
3	No digital (23, 74, 78)-net over F₃	[i]
4	No digital (23, 75, 78)-net over F₃	[i]
5	No digital (23, 76, 78)-net over F₃	[i]
6	No digital (23, 77, 78)-net over F₃	[i]
7	No digital (23, 78, 78)-net over F₃	[i]
8	No digital (23, 79, 78)-net over F₃	[i]
9	No digital (23, 80, 78)-net over F₃	[i]
10	No digital (23, 81, 78)-net over F₃	[i]
11	No digital (23, 82, 78)-net over F₃	[i]
12	No digital (23, 83, 78)-net over F₃	[i]
13	No digital (23, 84, 78)-net over F₃	[i]
14	No digital (23, 85, 78)-net over F₃	[i]
15	No digital (23, 86, 78)-net over F₃	[i]
16	No digital (23, 87, 78)-net over F₃	[i]
17	No digital (23, 88, 78)-net over F₃	[i]
18	No digital (23, 89, 78)-net over F₃	[i]
19	No digital (23, 90, 78)-net over F₃	[i]
20	No digital (23, 91, 78)-net over F₃	[i]
21	No digital (23, 92, 78)-net over F₃	[i]
22	No digital (23, 93, 78)-net over F₃	[i]
23	No digital (23, 94, 78)-net over F₃	[i]
24	No digital (23, 95, 78)-net over F₃	[i]
25	No digital (23, 96, 78)-net over F₃	[i]
26	No digital (23, 97, 78)-net over F₃	[i]
27	No digital (23, 98, 78)-net over F₃	[i]
28	No digital (23, 99, 78)-net over F₃	[i]
29	No digital (23, 100, 78)-net over F₃	[i]
30	No digital (23, 101, 78)-net over F₃	[i]
31	No digital (23, 102, 78)-net over F₃	[i]
32	No digital (23, 103, 78)-net over F₃	[i]
33	No digital (23, 104, 78)-net over F₃	[i]
34	No digital (23, 105, 78)-net over F₃	[i]
35	No digital (23, 106, 78)-net over F₃	[i]
36	No digital (23, 107, 78)-net over F₃	[i]
37	No digital (23, 108, 78)-net over F₃	[i]
38	No digital (23, 109, 78)-net over F₃	[i]
39	No digital (23, 110, 78)-net over F₃	[i]
40	No digital (23, 111, 78)-net over F₃	[i]
41	No digital (23, 112, 78)-net over F₃	[i]
42	No digital (23, 113, 78)-net over F₃	[i]
43	No digital (23, 114, 78)-net over F₃	[i]
44	No digital (23, 115, 78)-net over F₃	[i]
45	No digital (23, 116, 78)-net over F₃	[i]
46	No digital (23, 117, 78)-net over F₃	[i]