MinT - Information on Result #598570

Information on Result #598570

There is no digital (29, 61, 66)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2⁶¹, 66, F₂, 32) (dual of [66, 5, 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 (29, 62, 66)-net over F₂	[i]		m-Reduction
2	No digital (29, 63, 66)-net over F₂	[i]
3	No digital (29, 64, 66)-net over F₂	[i]
4	No digital (29, 65, 66)-net over F₂	[i]
5	No digital (29, 66, 66)-net over F₂	[i]
6	No digital (29, 67, 66)-net over F₂	[i]
7	No digital (29, 68, 66)-net over F₂	[i]