MinT - Information on Result #598980

Information on Result #598980

There is no digital (26, 80, 86)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3⁸⁰, 86, F₃, 54) (dual of [86, 6, 55]-code), but

residual code [i] would yield linear OA(3²⁶, 31, F₃, 18) (dual of [31, 5, 19]-code), but
- residual code [i] would yield linear OA(3⁸, 12, F₃, 6) (dual of [12, 4, 7]-code), but
  - residual code [i] would yield linear OA(3², 5, F₃, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,3)), 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		Method
1	No digital (26, 81, 86)-net over F₃	[i]	m-Reduction
2	No digital (26, 82, 86)-net over F₃	[i]
3	No digital (26, 83, 86)-net over F₃	[i]
4	No digital (26, 84, 86)-net over F₃	[i]
5	No digital (26, 85, 86)-net over F₃	[i]
6	No digital (26, 86, 86)-net over F₃	[i]
7	No digital (26, 87, 86)-net over F₃	[i]
8	No digital (26, 88, 86)-net over F₃	[i]
9	No digital (26, 89, 86)-net over F₃	[i]
10	No digital (26, 90, 86)-net over F₃	[i]
11	No digital (26, 91, 86)-net over F₃	[i]
12	No digital (26, 92, 86)-net over F₃	[i]
13	No digital (26, 93, 86)-net over F₃	[i]
14	No digital (26, 94, 86)-net over F₃	[i]
15	No digital (26, 95, 86)-net over F₃	[i]
16	No digital (26, 96, 86)-net over F₃	[i]
17	No digital (26, 97, 86)-net over F₃	[i]
18	No digital (26, 98, 86)-net over F₃	[i]
19	No digital (26, 99, 86)-net over F₃	[i]
20	No digital (26, 100, 86)-net over F₃	[i]
21	No digital (26, 101, 86)-net over F₃	[i]
22	No digital (26, 102, 86)-net over F₃	[i]
23	No digital (26, 103, 86)-net over F₃	[i]
24	No digital (26, 104, 86)-net over F₃	[i]
25	No digital (26, 105, 86)-net over F₃	[i]
26	No digital (26, 106, 86)-net over F₃	[i]
27	No digital (26, 107, 86)-net over F₃	[i]
28	No digital (26, 108, 86)-net over F₃	[i]
29	No digital (26, 109, 86)-net over F₃	[i]
30	No digital (26, 110, 86)-net over F₃	[i]
31	No digital (26, 111, 86)-net over F₃	[i]
32	No digital (26, 112, 86)-net over F₃	[i]
33	No digital (26, 113, 86)-net over F₃	[i]
34	No digital (26, 114, 86)-net over F₃	[i]
35	No digital (26, 115, 86)-net over F₃	[i]
36	No digital (26, 116, 86)-net over F₃	[i]
37	No digital (26, 117, 86)-net over F₃	[i]
38	No digital (26, 118, 86)-net over F₃	[i]
39	No digital (26, 119, 86)-net over F₃	[i]
40	No digital (26, 120, 86)-net over F₃	[i]
41	No digital (26, 121, 86)-net over F₃	[i]
42	No digital (26, 122, 86)-net over F₃	[i]
43	No digital (26, 123, 86)-net over F₃	[i]
44	No digital (26, 124, 86)-net over F₃	[i]
45	No digital (26, 125, 86)-net over F₃	[i]
46	No digital (26, 126, 86)-net over F₃	[i]
47	No digital (26, 127, 86)-net over F₃	[i]
48	No digital (26, 128, 86)-net over F₃	[i]
49	No digital (26, 129, 86)-net over F₃	[i]
50	No digital (26, 130, 86)-net over F₃	[i]
51	No digital (26, 131, 86)-net over F₃	[i]