MinT - Information on Result #599365

Information on Result #599365

There is no digital (9, 41, 44)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4⁴¹, 44, F₄, 32) (dual of [44, 3, 33]-code), but

Griesmer bound [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, 42, 44)-net over F₄	[i]		m-Reduction
2	No digital (9, 43, 44)-net over F₄	[i]
3	No digital (9, 44, 44)-net over F₄	[i]
4	No digital (9, 45, 44)-net over F₄	[i]
5	No digital (9, 46, 44)-net over F₄	[i]
6	No digital (9, 47, 44)-net over F₄	[i]
7	No digital (9, 48, 44)-net over F₄	[i]
8	No digital (9, 49, 44)-net over F₄	[i]
9	No digital (9, 50, 44)-net over F₄	[i]
10	No digital (9, 51, 44)-net over F₄	[i]
11	No digital (9, 52, 44)-net over F₄	[i]
12	No digital (9, 53, 44)-net over F₄	[i]
13	No digital (9, 54, 44)-net over F₄	[i]
14	No digital (9, 55, 44)-net over F₄	[i]
15	No digital (9, 56, 44)-net over F₄	[i]
16	No digital (9, 57, 44)-net over F₄	[i]
17	No digital (9, 58, 44)-net over F₄	[i]
18	No digital (9, 59, 44)-net over F₄	[i]
19	No digital (9, 60, 44)-net over F₄	[i]
20	No digital (9, 61, 44)-net over F₄	[i]
21	No digital (9, 62, 44)-net over F₄	[i]
22	No digital (9, 63, 44)-net over F₄	[i]
23	No digital (9, 64, 44)-net over F₄	[i]
24	No digital (9, 65, 44)-net over F₄	[i]
25	No digital (9, 66, 44)-net over F₄	[i]
26	No digital (9, 67, 44)-net over F₄	[i]
27	No digital (9, 68, 44)-net over F₄	[i]
28	No digital (9, 69, 44)-net over F₄	[i]
29	No digital (9, 70, 44)-net over F₄	[i]
30	No digital (9, 71, 44)-net over F₄	[i]
31	No digital (9, 72, 44)-net over F₄	[i]
32	No digital (9, 73, 44)-net over F₄	[i]
33	No digital (9, 74, 44)-net over F₄	[i]