MinT - Information on Result #598808

Information on Result #598808

There is no digital (96, 182, 211)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2¹⁸², 211, F₂, 86) (dual of [211, 29, 87]-code), but

adding a parity check bit [i] would yield linear OA(2¹⁸³, 212, F₂, 87) (dual of [212, 29, 88]-code), but
- â€œBKâ€ 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 (96, 183, 211)-net over F₂	[i]	m-Reduction
2	No digital (96, 184, 211)-net over F₂	[i]
3	No digital (96, 185, 211)-net over F₂	[i]
4	No digital (96, 186, 211)-net over F₂	[i]
5	No digital (96, 187, 211)-net over F₂	[i]
6	No digital (96, 188, 211)-net over F₂	[i]
7	No digital (96, 189, 211)-net over F₂	[i]
8	No digital (96, 190, 211)-net over F₂	[i]
9	No digital (96, 191, 211)-net over F₂	[i]