MinT - Information on Result #598867

Information on Result #598867

There is no digital (122, 250, 256)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2²⁵⁰, 256, F₂, 128) (dual of [256, 6, 129]-code), but

1 times code embedding in larger space [i] would yield linear OA(2²⁵¹, 257, F₂, 128) (dual of [257, 6, 129]-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		Method
1	No digital (122, 251, 256)-net over F₂	[i]	m-Reduction
2	No digital (122, 252, 256)-net over F₂	[i]
3	No digital (122, 253, 256)-net over F₂	[i]
4	No digital (122, 254, 256)-net over F₂	[i]
5	No digital (122, 255, 256)-net over F₂	[i]
6	No digital (122, 256, 256)-net over F₂	[i]
7	No digital (122, 257, 256)-net over F₂	[i]
8	No digital (122, 258, 256)-net over F₂	[i]
9	No digital (122, 259, 256)-net over F₂	[i]
10	No digital (122, 260, 256)-net over F₂	[i]