MinT - Information on Result #598936

Information on Result #598936

There is no digital (9, 27, 35)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3²⁷, 35, F₃, 18) (dual of [35, 8, 19]-code), but

residual code [i] would yield linear OA(3⁹, 16, F₃, 6) (dual of [16, 7, 7]-code), but
- â€œvE2â€ 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		This result only	Method
1	No digital (9, 28, 35)-net over F₃	[i]		m-Reduction
2	No digital (9, 29, 35)-net over F₃	[i]
3	No digital (9, 30, 35)-net over F₃	[i]
4	No digital (9, 31, 35)-net over F₃	[i]
5	No digital (9, 32, 35)-net over F₃	[i]
6	No digital (9, 33, 35)-net over F₃	[i]
7	No digital (9, 34, 35)-net over F₃	[i]
8	No digital (9, 35, 35)-net over F₃	[i]
9	No digital (9, 36, 35)-net over F₃	[i]
10	No digital (9, 37, 35)-net over F₃	[i]
11	No digital (9, 38, 35)-net over F₃	[i]
12	No digital (9, 39, 35)-net over F₃	[i]
13	No digital (9, 40, 35)-net over F₃	[i]
14	No digital (9, 41, 35)-net over F₃	[i]
15	No digital (9, 42, 35)-net over F₃	[i]
16	No digital (9, 43, 35)-net over F₃	[i]
17	No digital (9, 44, 35)-net over F₃	[i]
18	No digital (9, 45, 35)-net over F₃	[i]
19	No digital (9, 46, 35)-net over F₃	[i]
20	No digital (9, 47, 35)-net over F₃	[i]
21	No digital (9, 48, 35)-net over F₃	[i]
22	No digital (9, 49, 35)-net over F₃	[i]
23	No digital (9, 50, 35)-net over F₃	[i]
24	No digital (9, 51, 35)-net over F₃	[i]
25	No digital (9, 52, 35)-net over F₃	[i]