MinT - Information on Result #599852

Information on Result #599852

There is no digital (23, 167, 268)-net over F₈, because extracting embedded orthogonal array would yield linear OA(8¹⁶⁷, 268, F₈, 144) (dual of [268, 101, 145]-code), but

residual code [i] would yield OA(8²³, 123, S₈, 18), but
- the linear programming bound shows that MÂ â‰¥ 1 743141 598735 488799 812535 200593 739776 / 2760 831294 791795 > 8²³ [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 (23, 168, 268)-net over F₈	[i]	m-Reduction
2	No digital (23, 169, 268)-net over F₈	[i]
3	No digital (23, 170, 268)-net over F₈	[i]
4	No digital (23, 171, 268)-net over F₈	[i]
5	No digital (23, 172, 268)-net over F₈	[i]
6	No digital (23, 173, 268)-net over F₈	[i]