MinT - Information on Result #598759

Information on Result #598759

There is no digital (86, 174, 183)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2¹⁷⁴, 183, F₂, 88) (dual of [183, 9, 89]-code), but

residual code [i] would yield linear OA(2⁸⁶, 94, F₂, 44) (dual of [94, 8, 45]-code), but
- adding a parity check bit [i] would yield linear OA(2⁸⁷, 95, F₂, 45) (dual of [95, 8, 46]-code), but
  - â€œDHMâ€ bound on codes from Brouwerâ€™s database [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 (86, 175, 183)-net over F₂	[i]		m-Reduction
2	No digital (86, 176, 183)-net over F₂	[i]
3	No digital (86, 177, 183)-net over F₂	[i]
4	No digital (86, 178, 183)-net over F₂	[i]
5	No digital (86, 179, 183)-net over F₂	[i]
6	No digital (86, 180, 183)-net over F₂	[i]
7	No digital (86, 181, 183)-net over F₂	[i]
8	No digital (86, 182, 183)-net over F₂	[i]
9	No digital (86, 183, 183)-net over F₂	[i]
10	No digital (86, 184, 183)-net over F₂	[i]
11	No digital (86, 185, 183)-net over F₂	[i]
12	No digital (86, 186, 183)-net over F₂	[i]
13	No digital (86, 187, 183)-net over F₂	[i]
14	No digital (86, 188, 183)-net over F₂	[i]
15	No digital (86, 189, 183)-net over F₂	[i]
16	No digital (86, 190, 183)-net over F₂	[i]
17	No digital (86, 191, 183)-net over F₂	[i]
18	No digital (86, 192, 183)-net over F₂	[i]
19	No digital (86, 193, 183)-net over F₂	[i]