MinT - Information on Result #599356

Information on Result #599356

There is no digital (7, 31, 35)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4³¹, 35, F₄, 24) (dual of [35, 4, 25]-code), but

residual code [i] would yield linear OA(4⁷, 10, F₄, 6) (dual of [10, 3, 7]-code), but
- bound for almost-MDS-codes with dimension nÂ =Â 3 [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 (7, 32, 35)-net over F₄	[i]		m-Reduction
2	No digital (7, 33, 35)-net over F₄	[i]
3	No digital (7, 34, 35)-net over F₄	[i]
4	No digital (7, 35, 35)-net over F₄	[i]
5	No digital (7, 36, 35)-net over F₄	[i]
6	No digital (7, 37, 35)-net over F₄	[i]
7	No digital (7, 38, 35)-net over F₄	[i]
8	No digital (7, 39, 35)-net over F₄	[i]
9	No digital (7, 40, 35)-net over F₄	[i]
10	No digital (7, 41, 35)-net over F₄	[i]
11	No digital (7, 42, 35)-net over F₄	[i]
12	No digital (7, 43, 35)-net over F₄	[i]
13	No digital (7, 44, 35)-net over F₄	[i]
14	No digital (7, 45, 35)-net over F₄	[i]
15	No digital (7, 46, 35)-net over F₄	[i]
16	No digital (7, 47, 35)-net over F₄	[i]
17	No digital (7, 48, 35)-net over F₄	[i]
18	No digital (7, 49, 35)-net over F₄	[i]
19	No digital (7, 50, 35)-net over F₄	[i]
20	No digital (7, 51, 35)-net over F₄	[i]
21	No digital (7, 52, 35)-net over F₄	[i]
22	No digital (7, 53, 35)-net over F₄	[i]
23	No digital (7, 54, 35)-net over F₄	[i]
24	No digital (7, 55, 35)-net over F₄	[i]
25	No digital (7, 56, 35)-net over F₄	[i]
26	No digital (7, 57, 35)-net over F₄	[i]
27	No digital (7, 58, 35)-net over F₄	[i]
28	No digital (7, 59, 35)-net over F₄	[i]
29	No digital (7, 60, 35)-net over F₄	[i]