MinT - Information on Result #598940

Information on Result #598940

There is no digital (10, 31, 37)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3³¹, 37, F₃, 21) (dual of [37, 6, 22]-code), but

â€œBouâ€ 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 (10, 32, 37)-net over F₃	[i]		m-Reduction
2	No digital (10, 33, 37)-net over F₃	[i]
3	No digital (10, 34, 37)-net over F₃	[i]
4	No digital (10, 35, 37)-net over F₃	[i]
5	No digital (10, 36, 37)-net over F₃	[i]
6	No digital (10, 37, 37)-net over F₃	[i]
7	No digital (10, 38, 37)-net over F₃	[i]
8	No digital (10, 39, 37)-net over F₃	[i]
9	No digital (10, 40, 37)-net over F₃	[i]
10	No digital (10, 41, 37)-net over F₃	[i]
11	No digital (10, 42, 37)-net over F₃	[i]
12	No digital (10, 43, 37)-net over F₃	[i]
13	No digital (10, 44, 37)-net over F₃	[i]
14	No digital (10, 45, 37)-net over F₃	[i]
15	No digital (10, 46, 37)-net over F₃	[i]
16	No digital (10, 47, 37)-net over F₃	[i]
17	No digital (10, 48, 37)-net over F₃	[i]
18	No digital (10, 49, 37)-net over F₃	[i]
19	No digital (10, 50, 37)-net over F₃	[i]
20	No digital (10, 51, 37)-net over F₃	[i]
21	No digital (10, 52, 37)-net over F₃	[i]
22	No digital (10, 53, 37)-net over F₃	[i]
23	No digital (10, 54, 37)-net over F₃	[i]
24	No digital (10, 55, 37)-net over F₃	[i]
25	No digital (10, 56, 37)-net over F₃	[i]
26	No digital (10, 57, 37)-net over F₃	[i]