MinT - Information on Result #599529

Information on Result #599529

There is no digital (54, 218, 225)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4²¹⁸, 225, F₄, 164) (dual of [225, 7, 165]-code), but

residual code [i] would yield linear OA(4⁵⁴, 60, F₄, 41) (dual of [60, 6, 42]-code), but
- 1 times truncation [i] would yield linear OA(4⁵³, 59, F₄, 40) (dual of [59, 6, 41]-code), but
  - residual code [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 (54, 219, 225)-net over F₄	[i]	m-Reduction
2	No digital (54, 220, 225)-net over F₄	[i]
3	No digital (54, 221, 225)-net over F₄	[i]
4	No digital (54, 222, 225)-net over F₄	[i]
5	No digital (54, 223, 225)-net over F₄	[i]
6	No digital (54, 224, 225)-net over F₄	[i]
7	No digital (54, 225, 225)-net over F₄	[i]
8	No digital (54, 226, 225)-net over F₄	[i]
9	No digital (54, 227, 225)-net over F₄	[i]
10	No digital (54, 228, 225)-net over F₄	[i]
11	No digital (54, 229, 225)-net over F₄	[i]
12	No digital (54, 230, 225)-net over F₄	[i]
13	No digital (54, 231, 225)-net over F₄	[i]
14	No digital (54, 232, 225)-net over F₄	[i]
15	No digital (54, 233, 225)-net over F₄	[i]
16	No digital (54, 234, 225)-net over F₄	[i]
17	No digital (54, 235, 225)-net over F₄	[i]
18	No digital (54, 236, 225)-net over F₄	[i]
19	No digital (54, 237, 225)-net over F₄	[i]
20	No digital (54, 238, 225)-net over F₄	[i]
21	No digital (54, 239, 225)-net over F₄	[i]
22	No digital (54, 240, 225)-net over F₄	[i]
23	No digital (54, 241, 225)-net over F₄	[i]
24	No digital (54, 242, 225)-net over F₄	[i]
25	No digital (54, 243, 225)-net over F₄	[i]
26	No digital (54, 244, 225)-net over F₄	[i]
27	No digital (54, 245, 225)-net over F₄	[i]
28	No digital (54, 246, 225)-net over F₄	[i]
29	No digital (54, 247, 225)-net over F₄	[i]
30	No digital (54, 248, 225)-net over F₄	[i]
31	No digital (54, 249, 225)-net over F₄	[i]
32	No digital (54, 250, 225)-net over F₄	[i]
33	No digital (54, 251, 225)-net over F₄	[i]
34	No digital (54, 252, 225)-net over F₄	[i]
35	No digital (54, 253, 225)-net over F₄	[i]
36	No digital (54, 254, 225)-net over F₄	[i]
37	No digital (54, 255, 225)-net over F₄	[i]
38	No digital (54, 256, 225)-net over F₄	[i]
39	No digital (54, 257, 225)-net over F₄	[i]
40	No digital (54, 258, 225)-net over F₄	[i]
41	No digital (54, 259, 225)-net over F₄	[i]
42	No digital (54, 260, 225)-net over F₄	[i]