MinT - Information on Result #598800

Information on Result #598800

There is no digital (94, 178, 208)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2¹⁷⁸, 208, F₂, 84) (dual of [208, 30, 85]-code), but

1 times code embedding in larger space [i] would yield linear OA(2¹⁷⁹, 209, F₂, 84) (dual of [209, 30, 85]-code), but
- adding a parity check bit [i] would yield linear OA(2¹⁸⁰, 210, F₂, 85) (dual of [210, 30, 86]-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 (94, 179, 208)-net over F₂	[i]	m-Reduction
2	No digital (94, 180, 208)-net over F₂	[i]
3	No digital (94, 181, 208)-net over F₂	[i]
4	No digital (94, 182, 208)-net over F₂	[i]
5	No digital (94, 183, 208)-net over F₂	[i]
6	No digital (94, 184, 208)-net over F₂	[i]
7	No digital (94, 185, 208)-net over F₂	[i]