MinT - Information on Result #598837

Information on Result #598837

There is no digital (103, 207, 217)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2²⁰⁷, 217, F₂, 104) (dual of [217, 10, 105]-code), but

residual code [i] would yield linear OA(2¹⁰³, 112, F₂, 52) (dual of [112, 9, 53]-code), but
- residual code [i] would yield linear OA(2⁵¹, 59, F₂, 26) (dual of [59, 8, 27]-code), but
  - adding a parity check bit [i] would yield linear OA(2⁵², 60, F₂, 27) (dual of [60, 8, 28]-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 (103, 208, 217)-net over F₂	[i]	m-Reduction
2	No digital (103, 209, 217)-net over F₂	[i]
3	No digital (103, 210, 217)-net over F₂	[i]
4	No digital (103, 211, 217)-net over F₂	[i]
5	No digital (103, 212, 217)-net over F₂	[i]
6	No digital (103, 213, 217)-net over F₂	[i]
7	No digital (103, 214, 217)-net over F₂	[i]
8	No digital (103, 215, 217)-net over F₂	[i]
9	No digital (103, 216, 217)-net over F₂	[i]
10	No digital (103, 217, 217)-net over F₂	[i]
11	No digital (103, 218, 217)-net over F₂	[i]
12	No digital (103, 219, 217)-net over F₂	[i]
13	No digital (103, 220, 217)-net over F₂	[i]
14	No digital (103, 221, 217)-net over F₂	[i]
15	No digital (103, 222, 217)-net over F₂	[i]
16	No digital (103, 223, 217)-net over F₂	[i]
17	No digital (103, 224, 217)-net over F₂	[i]
18	No digital (103, 225, 217)-net over F₂	[i]
19	No digital (103, 226, 217)-net over F₂	[i]
20	No digital (103, 227, 217)-net over F₂	[i]
21	No digital (103, 228, 217)-net over F₂	[i]
22	No digital (103, 229, 217)-net over F₂	[i]
23	No digital (103, 230, 217)-net over F₂	[i]
24	No digital (103, 231, 217)-net over F₂	[i]
25	No digital (103, 232, 217)-net over F₂	[i]