MinT - Information on Result #599709

Information on Result #599709

There is no digital (4, 24, 28)-net over F₅, because extracting embedded orthogonal array would yield linear OA(5²⁴, 28, F₅, 20) (dual of [28, 4, 21]-code), but

residual code [i] would yield OA(5⁴, 7, S₅, 4), but
- bound for OAs with index unity [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 (4, 25, 28)-net over F₅	[i]		m-Reduction
2	No digital (4, 26, 28)-net over F₅	[i]
3	No digital (4, 27, 28)-net over F₅	[i]
4	No digital (4, 28, 28)-net over F₅	[i]