MinT - Information on Result #598573

Information on Result #598573

There is no digital (30, 62, 68)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2⁶², 68, F₂, 32) (dual of [68, 6, 33]-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 (30, 63, 68)-net over F₂	[i]		m-Reduction
2	No digital (30, 64, 68)-net over F₂	[i]
3	No digital (30, 65, 68)-net over F₂	[i]
4	No digital (30, 66, 68)-net over F₂	[i]
5	No digital (30, 67, 68)-net over F₂	[i]
6	No digital (30, 68, 68)-net over F₂	[i]
7	No digital (30, 69, 68)-net over F₂	[i]
8	No digital (30, 70, 68)-net over F₂	[i]
9	No digital (30, 71, 68)-net over F₂	[i]