MinT - Information on Result #598863

Information on Result #598863

There is no digital (121, 245, 255)-net over F₂, because extracting embedded orthogonal array would yield linear OA(2²⁴⁵, 255, F₂, 124) (dual of [255, 10, 125]-code), but

residual code [i] would yield linear OA(2¹²¹, 130, F₂, 62) (dual of [130, 9, 63]-code), but
- residual code [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		This result only	Method
1	No digital (121, 246, 255)-net over F₂	[i]		m-Reduction
2	No digital (121, 247, 255)-net over F₂	[i]
3	No digital (121, 248, 255)-net over F₂	[i]
4	No digital (121, 249, 255)-net over F₂	[i]
5	No digital (121, 250, 255)-net over F₂	[i]
6	No digital (121, 251, 255)-net over F₂	[i]
7	No digital (121, 252, 255)-net over F₂	[i]
8	No digital (121, 253, 255)-net over F₂	[i]
9	No digital (121, 254, 255)-net over F₂	[i]
10	No digital (121, 255, 255)-net over F₂	[i]
11	No digital (121, 256, 255)-net over F₂	[i]
12	No digital (121, 257, 255)-net over F₂	[i]
13	No digital (121, 258, 255)-net over F₂	[i]
14	No digital (121, 259, 255)-net over F₂	[i]
15	No digital (121, 260, 255)-net over F₂	[i]