MinT - Information on Result #598596

Information on Result #598596

There is no digital (37, 77, 83)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2⁷⁷, 83, F₂, 40) (dual of [83, 6, 41]-code), but

Griesmer bound [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 (37, 78, 83)-net over F₂	[i]		m-Reduction
2	No digital (37, 79, 83)-net over F₂	[i]
3	No digital (37, 80, 83)-net over F₂	[i]
4	No digital (37, 81, 83)-net over F₂	[i]
5	No digital (37, 82, 83)-net over F₂	[i]
6	No digital (37, 83, 83)-net over F₂	[i]
7	No digital (37, 84, 83)-net over F₂	[i]