MinT - Information on Result #599359

Information on Result #599359

There is no digital (8, 36, 40)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4³⁶, 40, F₄, 28) (dual of [40, 4, 29]-code), but

residual code [i] would yield linear OA(4⁸, 11, F₄, 7) (dual of [11, 3, 8]-code), but
- improvement by Maruta on the 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 (8, 37, 40)-net over F₄	[i]		m-Reduction
2	No digital (8, 38, 40)-net over F₄	[i]
3	No digital (8, 39, 40)-net over F₄	[i]
4	No digital (8, 40, 40)-net over F₄	[i]
5	No digital (8, 41, 40)-net over F₄	[i]
6	No digital (8, 42, 40)-net over F₄	[i]
7	No digital (8, 43, 40)-net over F₄	[i]
8	No digital (8, 44, 40)-net over F₄	[i]
9	No digital (8, 45, 40)-net over F₄	[i]
10	No digital (8, 46, 40)-net over F₄	[i]
11	No digital (8, 47, 40)-net over F₄	[i]
12	No digital (8, 48, 40)-net over F₄	[i]
13	No digital (8, 49, 40)-net over F₄	[i]
14	No digital (8, 50, 40)-net over F₄	[i]
15	No digital (8, 51, 40)-net over F₄	[i]
16	No digital (8, 52, 40)-net over F₄	[i]
17	No digital (8, 53, 40)-net over F₄	[i]
18	No digital (8, 54, 40)-net over F₄	[i]
19	No digital (8, 55, 40)-net over F₄	[i]
20	No digital (8, 56, 40)-net over F₄	[i]
21	No digital (8, 57, 40)-net over F₄	[i]
22	No digital (8, 58, 40)-net over F₄	[i]
23	No digital (8, 59, 40)-net over F₄	[i]
24	No digital (8, 60, 40)-net over F₄	[i]
25	No digital (8, 61, 40)-net over F₄	[i]
26	No digital (8, 62, 40)-net over F₄	[i]
27	No digital (8, 63, 40)-net over F₄	[i]
28	No digital (8, 64, 40)-net over F₄	[i]
29	No digital (8, 65, 40)-net over F₄	[i]
30	No digital (8, 66, 40)-net over F₄	[i]
31	No digital (8, 67, 40)-net over F₄	[i]