MinT - Information on Result #598828

Information on Result #598828

There is no digital (99, 199, 209)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2¹⁹⁹, 209, F₂, 100) (dual of [209, 10, 101]-code), but

residual code [i] would yield linear OA(2⁹⁹, 108, F₂, 50) (dual of [108, 9, 51]-code), but
- residual code [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 (99, 200, 209)-net over F₂	[i]	m-Reduction
2	No digital (99, 201, 209)-net over F₂	[i]
3	No digital (99, 202, 209)-net over F₂	[i]
4	No digital (99, 203, 209)-net over F₂	[i]
5	No digital (99, 204, 209)-net over F₂	[i]
6	No digital (99, 205, 209)-net over F₂	[i]
7	No digital (99, 206, 209)-net over F₂	[i]
8	No digital (99, 207, 209)-net over F₂	[i]
9	No digital (99, 208, 209)-net over F₂	[i]
10	No digital (99, 209, 209)-net over F₂	[i]
11	No digital (99, 210, 209)-net over F₂	[i]
12	No digital (99, 211, 209)-net over F₂	[i]
13	No digital (99, 212, 209)-net over F₂	[i]
14	No digital (99, 213, 209)-net over F₂	[i]
15	No digital (99, 214, 209)-net over F₂	[i]
16	No digital (99, 215, 209)-net over F₂	[i]
17	No digital (99, 216, 209)-net over F₂	[i]
18	No digital (99, 217, 209)-net over F₂	[i]
19	No digital (99, 218, 209)-net over F₂	[i]
20	No digital (99, 219, 209)-net over F₂	[i]
21	No digital (99, 220, 209)-net over F₂	[i]
22	No digital (99, 221, 209)-net over F₂	[i]
23	No digital (99, 222, 209)-net over F₂	[i]