MinT - Information on Result #598618

Information on Result #598618

There is no digital (47, 95, 103)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2⁹⁵, 103, F₂, 48) (dual of [103, 8, 49]-code), but

residual code [i] would yield linear OA(2⁴⁷, 54, F₂, 24) (dual of [54, 7, 25]-code), but
- adding a parity check bit [i] would yield linear OA(2⁴⁸, 55, F₂, 25) (dual of [55, 7, 26]-code), but
  - â€œvT4â€ 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		This result only	Method
1	No digital (47, 96, 103)-net over F₂	[i]		m-Reduction
2	No digital (47, 97, 103)-net over F₂	[i]
3	No digital (47, 98, 103)-net over F₂	[i]
4	No digital (47, 99, 103)-net over F₂	[i]
5	No digital (47, 100, 103)-net over F₂	[i]
6	No digital (47, 101, 103)-net over F₂	[i]
7	No digital (47, 102, 103)-net over F₂	[i]
8	No digital (47, 103, 103)-net over F₂	[i]
9	No digital (47, 104, 103)-net over F₂	[i]
10	No digital (47, 105, 103)-net over F₂	[i]
11	No digital (47, 106, 103)-net over F₂	[i]
12	No digital (47, 107, 103)-net over F₂	[i]
13	No digital (47, 108, 103)-net over F₂	[i]