MinT - Information on Result #599841

Information on Result #599841

There is no digital (20, 140, 260)-net over F₈, because extracting embedded orthogonal array would yield linear OA(8¹⁴⁰, 260, F₈, 120) (dual of [260, 120, 121]-code), but

residual code [i] would yield OA(8²⁰, 139, S₈, 15), but
- 1 times truncation [i] would yield OA(8¹⁹, 138, S₈, 14), but
  - the linear programming bound shows that MÂ â‰¥ 411449 038157 955600 826236 928000 / 2 816739 543071 > 8¹⁹ [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 (20, 141, 260)-net over F₈	[i]	m-Reduction
2	No digital (20, 142, 260)-net over F₈	[i]
3	No digital (20, 143, 260)-net over F₈	[i]
4	No digital (20, 144, 260)-net over F₈	[i]
5	No digital (20, 145, 260)-net over F₈	[i]
6	No digital (20, 146, 260)-net over F₈	[i]
7	No digital (20, 147, 260)-net over F₈	[i]