MinT - Information on Result #598822

Information on Result #598822

There is no digital (98, 198, 207)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2¹⁹⁸, 207, F₂, 100) (dual of [207, 9, 101]-code), but

residual code [i] would yield linear OA(2⁹⁸, 106, F₂, 50) (dual of [106, 8, 51]-code), but
- residual code [i] would yield linear OA(2⁴⁸, 55, F₂, 25) (dual of [55, 7, 26]-code), but
  - â€œvT4â€ 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 (98, 199, 207)-net over F₂	[i]	m-Reduction
2	No digital (98, 200, 207)-net over F₂	[i]
3	No digital (98, 201, 207)-net over F₂	[i]
4	No digital (98, 202, 207)-net over F₂	[i]
5	No digital (98, 203, 207)-net over F₂	[i]
6	No digital (98, 204, 207)-net over F₂	[i]
7	No digital (98, 205, 207)-net over F₂	[i]
8	No digital (98, 206, 207)-net over F₂	[i]
9	No digital (98, 207, 207)-net over F₂	[i]
10	No digital (98, 208, 207)-net over F₂	[i]
11	No digital (98, 209, 207)-net over F₂	[i]
12	No digital (98, 210, 207)-net over F₂	[i]
13	No digital (98, 211, 207)-net over F₂	[i]
14	No digital (98, 212, 207)-net over F₂	[i]
15	No digital (98, 213, 207)-net over F₂	[i]
16	No digital (98, 214, 207)-net over F₂	[i]
17	No digital (98, 215, 207)-net over F₂	[i]
18	No digital (98, 216, 207)-net over F₂	[i]
19	No digital (98, 217, 207)-net over F₂	[i]
20	No digital (98, 218, 207)-net over F₂	[i]
21	No digital (98, 219, 207)-net over F₂	[i]
22	No digital (98, 220, 207)-net over F₂	[i]
23	No digital (98, 221, 207)-net over F₂	[i]