MinT - Information on Result #598809

Information on Result #598809

There is no digital (96, 192, 202)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2¹⁹², 202, F₂, 96) (dual of [202, 10, 97]-code), but

residual code [i] would yield linear OA(2⁹⁶, 105, F₂, 48) (dual of [105, 9, 49]-code), but
- residual code [i] would yield linear OA(2⁴⁸, 56, F₂, 24) (dual of [56, 8, 25]-code), but
  - adding a parity check bit [i] would yield linear OA(2⁴⁹, 57, F₂, 25) (dual of [57, 8, 26]-code), but
    - â€œBJVâ€ 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 (96, 193, 202)-net over F₂	[i]	m-Reduction
2	No digital (96, 194, 202)-net over F₂	[i]
3	No digital (96, 195, 202)-net over F₂	[i]
4	No digital (96, 196, 202)-net over F₂	[i]
5	No digital (96, 197, 202)-net over F₂	[i]
6	No digital (96, 198, 202)-net over F₂	[i]
7	No digital (96, 199, 202)-net over F₂	[i]
8	No digital (96, 200, 202)-net over F₂	[i]
9	No digital (96, 201, 202)-net over F₂	[i]
10	No digital (96, 202, 202)-net over F₂	[i]
11	No digital (96, 203, 202)-net over F₂	[i]
12	No digital (96, 204, 202)-net over F₂	[i]
13	No digital (96, 205, 202)-net over F₂	[i]
14	No digital (96, 206, 202)-net over F₂	[i]
15	No digital (96, 207, 202)-net over F₂	[i]
16	No digital (96, 208, 202)-net over F₂	[i]
17	No digital (96, 209, 202)-net over F₂	[i]
18	No digital (96, 210, 202)-net over F₂	[i]
19	No digital (96, 211, 202)-net over F₂	[i]
20	No digital (96, 212, 202)-net over F₂	[i]
21	No digital (96, 213, 202)-net over F₂	[i]
22	No digital (96, 214, 202)-net over F₂	[i]
23	No digital (96, 215, 202)-net over F₂	[i]
24	No digital (96, 216, 202)-net over F₂	[i]
25	No digital (96, 217, 202)-net over F₂	[i]