MinT - Information on Result #599206

Information on Result #599206

There is no digital (72, 219, 227)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3²¹⁹, 227, F₃, 147) (dual of [227, 8, 148]-code), but

residual code [i] would yield linear OA(3⁷², 79, F₃, 49) (dual of [79, 7, 50]-code), but
- 1 times truncation [i] would yield linear OA(3⁷¹, 78, F₃, 48) (dual of [78, 7, 49]-code), but
  - residual code [i] would yield linear OA(3²³, 29, F₃, 16) (dual of [29, 6, 17]-code), but
    - 1 times truncation [i] would yield linear OA(3²², 28, F₃, 15) (dual of [28, 6, 16]-code), but
      - â€œHHMâ€ 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 (72, 220, 227)-net over F₃	[i]	m-Reduction
2	No digital (72, 221, 227)-net over F₃	[i]
3	No digital (72, 222, 227)-net over F₃	[i]
4	No digital (72, 223, 227)-net over F₃	[i]
5	No digital (72, 224, 227)-net over F₃	[i]
6	No digital (72, 225, 227)-net over F₃	[i]
7	No digital (72, 226, 227)-net over F₃	[i]
8	No digital (72, 227, 227)-net over F₃	[i]
9	No digital (72, 228, 227)-net over F₃	[i]
10	No digital (72, 229, 227)-net over F₃	[i]
11	No digital (72, 230, 227)-net over F₃	[i]
12	No digital (72, 231, 227)-net over F₃	[i]
13	No digital (72, 232, 227)-net over F₃	[i]
14	No digital (72, 233, 227)-net over F₃	[i]
15	No digital (72, 234, 227)-net over F₃	[i]
16	No digital (72, 235, 227)-net over F₃	[i]
17	No digital (72, 236, 227)-net over F₃	[i]
18	No digital (72, 237, 227)-net over F₃	[i]
19	No digital (72, 238, 227)-net over F₃	[i]
20	No digital (72, 239, 227)-net over F₃	[i]
21	No digital (72, 240, 227)-net over F₃	[i]
22	No digital (72, 241, 227)-net over F₃	[i]
23	No digital (72, 242, 227)-net over F₃	[i]
24	No digital (72, 243, 227)-net over F₃	[i]
25	No digital (72, 244, 227)-net over F₃	[i]
26	No digital (72, 245, 227)-net over F₃	[i]
27	No digital (72, 246, 227)-net over F₃	[i]
28	No digital (72, 247, 227)-net over F₃	[i]
29	No digital (72, 248, 227)-net over F₃	[i]
30	No digital (72, 249, 227)-net over F₃	[i]
31	No digital (72, 250, 227)-net over F₃	[i]