MinT - Information on Result #598856

Information on Result #598856

There is no digital (118, 238, 248)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2²³⁸, 248, F₂, 120) (dual of [248, 10, 121]-code), but

residual code [i] would yield linear OA(2¹¹⁸, 127, F₂, 60) (dual of [127, 9, 61]-code), but
- residual code [i] would yield linear OA(2⁵⁸, 66, F₂, 30) (dual of [66, 8, 31]-code), but
  - adding a parity check bit [i] would yield linear OA(2⁵⁹, 67, F₂, 31) (dual of [67, 8, 32]-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		Method
1	No digital (118, 239, 248)-net over F₂	[i]	m-Reduction
2	No digital (118, 240, 248)-net over F₂	[i]
3	No digital (118, 241, 248)-net over F₂	[i]
4	No digital (118, 242, 248)-net over F₂	[i]
5	No digital (118, 243, 248)-net over F₂	[i]
6	No digital (118, 244, 248)-net over F₂	[i]
7	No digital (118, 245, 248)-net over F₂	[i]
8	No digital (118, 246, 248)-net over F₂	[i]
9	No digital (118, 247, 248)-net over F₂	[i]
10	No digital (118, 248, 248)-net over F₂	[i]
11	No digital (118, 249, 248)-net over F₂	[i]
12	No digital (118, 250, 248)-net over F₂	[i]
13	No digital (118, 251, 248)-net over F₂	[i]
14	No digital (118, 252, 248)-net over F₂	[i]
15	No digital (118, 253, 248)-net over F₂	[i]
16	No digital (118, 254, 248)-net over F₂	[i]
17	No digital (118, 255, 248)-net over F₂	[i]
18	No digital (118, 256, 248)-net over F₂	[i]
19	No digital (118, 257, 248)-net over F₂	[i]
20	No digital (118, 258, 248)-net over F₂	[i]
21	No digital (118, 259, 248)-net over F₂	[i]
22	No digital (118, 260, 248)-net over F₂	[i]