MinT - Information on Result #599838

Information on Result #599838

There is no digital (19, 139, 225)-net over F₈, because extracting embedded orthogonal array would yield linear OA(8¹³⁹, 225, F₈, 120) (dual of [225, 86, 121]-code), but

residual code [i] would yield OA(8¹⁹, 104, S₈, 15), but
- 1 times truncation [i] would yield OA(8¹⁸, 103, S₈, 14), but
  - the linear programming bound shows that MÂ â‰¥ 2 959453 402132 306537 427763 200000 / 157 546655 556261 > 8¹⁸ [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 (19, 140, 225)-net over F₈	[i]	m-Reduction
2	No digital (19, 141, 225)-net over F₈	[i]
3	No digital (19, 142, 225)-net over F₈	[i]
4	No digital (19, 143, 225)-net over F₈	[i]
5	No digital (19, 144, 225)-net over F₈	[i]
6	No digital (19, 145, 225)-net over F₈	[i]
7	No digital (19, 146, 225)-net over F₈	[i]