MinT - Information on Result #598850

Information on Result #598850

There is no digital (114, 230, 240)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2²³⁰, 240, F₂, 116) (dual of [240, 10, 117]-code), but

residual code [i] would yield linear OA(2¹¹⁴, 123, F₂, 58) (dual of [123, 9, 59]-code), but
- residual code [i] would yield linear OA(2⁵⁶, 64, F₂, 29) (dual of [64, 8, 30]-code), but
  - 1 times truncation [i] would yield linear OA(2⁵⁵, 63, F₂, 28) (dual of [63, 8, 29]-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 (114, 231, 240)-net over F₂	[i]	m-Reduction
2	No digital (114, 232, 240)-net over F₂	[i]
3	No digital (114, 233, 240)-net over F₂	[i]
4	No digital (114, 234, 240)-net over F₂	[i]
5	No digital (114, 235, 240)-net over F₂	[i]
6	No digital (114, 236, 240)-net over F₂	[i]
7	No digital (114, 237, 240)-net over F₂	[i]
8	No digital (114, 238, 240)-net over F₂	[i]
9	No digital (114, 239, 240)-net over F₂	[i]
10	No digital (114, 240, 240)-net over F₂	[i]
11	No digital (114, 241, 240)-net over F₂	[i]
12	No digital (114, 242, 240)-net over F₂	[i]
13	No digital (114, 243, 240)-net over F₂	[i]
14	No digital (114, 244, 240)-net over F₂	[i]
15	No digital (114, 245, 240)-net over F₂	[i]
16	No digital (114, 246, 240)-net over F₂	[i]
17	No digital (114, 247, 240)-net over F₂	[i]
18	No digital (114, 248, 240)-net over F₂	[i]
19	No digital (114, 249, 240)-net over F₂	[i]
20	No digital (114, 250, 240)-net over F₂	[i]
21	No digital (114, 251, 240)-net over F₂	[i]
22	No digital (114, 252, 240)-net over F₂	[i]
23	No digital (114, 253, 240)-net over F₂	[i]
24	No digital (114, 254, 240)-net over F₂	[i]
25	No digital (114, 255, 240)-net over F₂	[i]