MinT - Information on Result #599567

Information on Result #599567

There is no digital (58, 234, 241)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4²³⁴, 241, F₄, 176) (dual of [241, 7, 177]-code), but

residual code [i] would yield linear OA(4⁵⁸, 64, F₄, 44) (dual of [64, 6, 45]-code), but
- residual code [i] would yield linear OA(4¹⁴, 19, F₄, 11) (dual of [19, 5, 12]-code), but
  - 1 times truncation [i] would yield linear OA(4¹³, 18, F₄, 10) (dual of [18, 5, 11]-code), but
    - â€œLizâ€ 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 (58, 235, 241)-net over F₄	[i]	m-Reduction
2	No digital (58, 236, 241)-net over F₄	[i]
3	No digital (58, 237, 241)-net over F₄	[i]
4	No digital (58, 238, 241)-net over F₄	[i]
5	No digital (58, 239, 241)-net over F₄	[i]
6	No digital (58, 240, 241)-net over F₄	[i]
7	No digital (58, 241, 241)-net over F₄	[i]
8	No digital (58, 242, 241)-net over F₄	[i]
9	No digital (58, 243, 241)-net over F₄	[i]
10	No digital (58, 244, 241)-net over F₄	[i]
11	No digital (58, 245, 241)-net over F₄	[i]
12	No digital (58, 246, 241)-net over F₄	[i]
13	No digital (58, 247, 241)-net over F₄	[i]
14	No digital (58, 248, 241)-net over F₄	[i]
15	No digital (58, 249, 241)-net over F₄	[i]
16	No digital (58, 250, 241)-net over F₄	[i]
17	No digital (58, 251, 241)-net over F₄	[i]
18	No digital (58, 252, 241)-net over F₄	[i]
19	No digital (58, 253, 241)-net over F₄	[i]
20	No digital (58, 254, 241)-net over F₄	[i]
21	No digital (58, 255, 241)-net over F₄	[i]
22	No digital (58, 256, 241)-net over F₄	[i]
23	No digital (58, 257, 241)-net over F₄	[i]
24	No digital (58, 258, 241)-net over F₄	[i]
25	No digital (58, 259, 241)-net over F₄	[i]
26	No digital (58, 260, 241)-net over F₄	[i]