MinT - Information on Result #598963

Information on Result #598963

There is no digital (17, 53, 58)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3⁵³, 58, F₃, 36) (dual of [58, 5, 37]-code), but

residual code [i] would yield linear OA(3¹⁷, 21, F₃, 12) (dual of [21, 4, 13]-code), but
- â€œHNâ€ 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		Method
1	No digital (17, 54, 58)-net over F₃	[i]	m-Reduction
2	No digital (17, 55, 58)-net over F₃	[i]
3	No digital (17, 56, 58)-net over F₃	[i]
4	No digital (17, 57, 58)-net over F₃	[i]
5	No digital (17, 58, 58)-net over F₃	[i]
6	No digital (17, 59, 58)-net over F₃	[i]
7	No digital (17, 60, 58)-net over F₃	[i]
8	No digital (17, 61, 58)-net over F₃	[i]
9	No digital (17, 62, 58)-net over F₃	[i]
10	No digital (17, 63, 58)-net over F₃	[i]
11	No digital (17, 64, 58)-net over F₃	[i]
12	No digital (17, 65, 58)-net over F₃	[i]
13	No digital (17, 66, 58)-net over F₃	[i]
14	No digital (17, 67, 58)-net over F₃	[i]
15	No digital (17, 68, 58)-net over F₃	[i]
16	No digital (17, 69, 58)-net over F₃	[i]
17	No digital (17, 70, 58)-net over F₃	[i]
18	No digital (17, 71, 58)-net over F₃	[i]
19	No digital (17, 72, 58)-net over F₃	[i]
20	No digital (17, 73, 58)-net over F₃	[i]
21	No digital (17, 74, 58)-net over F₃	[i]
22	No digital (17, 75, 58)-net over F₃	[i]
23	No digital (17, 76, 58)-net over F₃	[i]
24	No digital (17, 77, 58)-net over F₃	[i]
25	No digital (17, 78, 58)-net over F₃	[i]
26	No digital (17, 79, 58)-net over F₃	[i]
27	No digital (17, 80, 58)-net over F₃	[i]
28	No digital (17, 81, 58)-net over F₃	[i]
29	No digital (17, 82, 58)-net over F₃	[i]
30	No digital (17, 83, 58)-net over F₃	[i]
31	No digital (17, 84, 58)-net over F₃	[i]
32	No digital (17, 85, 58)-net over F₃	[i]
33	No digital (17, 86, 58)-net over F₃	[i]
34	No digital (17, 87, 58)-net over F₃	[i]
35	No digital (17, 88, 58)-net over F₃	[i]
36	No digital (17, 89, 58)-net over F₃	[i]
37	No digital (17, 90, 58)-net over F₃	[i]