MinT - Information on Result #598848

Information on Result #598848

There is no digital (111, 223, 233)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2²²³, 233, F₂, 112) (dual of [233, 10, 113]-code), but

residual code [i] would yield linear OA(2¹¹¹, 120, F₂, 56) (dual of [120, 9, 57]-code), but
- residual code [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 (111, 224, 233)-net over F₂	[i]	m-Reduction
2	No digital (111, 225, 233)-net over F₂	[i]
3	No digital (111, 226, 233)-net over F₂	[i]
4	No digital (111, 227, 233)-net over F₂	[i]
5	No digital (111, 228, 233)-net over F₂	[i]
6	No digital (111, 229, 233)-net over F₂	[i]
7	No digital (111, 230, 233)-net over F₂	[i]
8	No digital (111, 231, 233)-net over F₂	[i]
9	No digital (111, 232, 233)-net over F₂	[i]
10	No digital (111, 233, 233)-net over F₂	[i]
11	No digital (111, 234, 233)-net over F₂	[i]
12	No digital (111, 235, 233)-net over F₂	[i]
13	No digital (111, 236, 233)-net over F₂	[i]
14	No digital (111, 237, 233)-net over F₂	[i]
15	No digital (111, 238, 233)-net over F₂	[i]
16	No digital (111, 239, 233)-net over F₂	[i]
17	No digital (111, 240, 233)-net over F₂	[i]
18	No digital (111, 241, 233)-net over F₂	[i]
19	No digital (111, 242, 233)-net over F₂	[i]
20	No digital (111, 243, 233)-net over F₂	[i]
21	No digital (111, 244, 233)-net over F₂	[i]
22	No digital (111, 245, 233)-net over F₂	[i]
23	No digital (111, 246, 233)-net over F₂	[i]
24	No digital (111, 247, 233)-net over F₂	[i]
25	No digital (111, 248, 233)-net over F₂	[i]
26	No digital (111, 249, 233)-net over F₂	[i]
27	No digital (111, 250, 233)-net over F₂	[i]