MinT - Information on Result #598829

Information on Result #598829

There is no digital (100, 192, 218)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2¹⁹², 218, F₂, 92) (dual of [218, 26, 93]-code), but

2 times code embedding in larger space [i] would yield linear OA(2¹⁹⁴, 220, F₂, 92) (dual of [220, 26, 93]-code), but
- adding a parity check bit [i] would yield linear OA(2¹⁹⁵, 221, F₂, 93) (dual of [221, 26, 94]-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 (100, 193, 218)-net over F₂	[i]	m-Reduction
2	No digital (100, 194, 218)-net over F₂	[i]
3	No digital (100, 195, 218)-net over F₂	[i]
4	No digital (100, 196, 218)-net over F₂	[i]
5	No digital (100, 197, 218)-net over F₂	[i]
6	No digital (100, 198, 218)-net over F₂	[i]
7	No digital (100, 199, 218)-net over F₂	[i]