MinT - Information on Result #598858

Information on Result #598858

There is no digital (119, 239, 250)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2²³⁹, 250, F₂, 120) (dual of [250, 11, 121]-code), but

residual code [i] would yield linear OA(2¹¹⁹, 129, F₂, 60) (dual of [129, 10, 61]-code), but
- residual code [i] would yield linear OA(2⁵⁹, 68, F₂, 30) (dual of [68, 9, 31]-code), but
  - adding a parity check bit [i] would yield linear OA(2⁶⁰, 69, F₂, 31) (dual of [69, 9, 32]-code), but
    - â€œBGVâ€ 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 (119, 240, 250)-net over F₂	[i]	m-Reduction
2	No digital (119, 241, 250)-net over F₂	[i]
3	No digital (119, 242, 250)-net over F₂	[i]
4	No digital (119, 243, 250)-net over F₂	[i]
5	No digital (119, 244, 250)-net over F₂	[i]
6	No digital (119, 245, 250)-net over F₂	[i]
7	No digital (119, 246, 250)-net over F₂	[i]
8	No digital (119, 247, 250)-net over F₂	[i]
9	No digital (119, 248, 250)-net over F₂	[i]
10	No digital (119, 249, 250)-net over F₂	[i]
11	No digital (119, 250, 250)-net over F₂	[i]
12	No digital (119, 251, 250)-net over F₂	[i]
13	No digital (119, 252, 250)-net over F₂	[i]
14	No digital (119, 253, 250)-net over F₂	[i]
15	No digital (119, 254, 250)-net over F₂	[i]
16	No digital (119, 255, 250)-net over F₂	[i]
17	No digital (119, 256, 250)-net over F₂	[i]
18	No digital (119, 257, 250)-net over F₂	[i]
19	No digital (119, 258, 250)-net over F₂	[i]
20	No digital (119, 259, 250)-net over F₂	[i]
21	No digital (119, 260, 250)-net over F₂	[i]