MinT - Information on Result #555261

Information on Result #555261

There is no linear OOA(2²⁶⁰, 255, F₂, 2, 139) (dual of [(255, 2), 250, 140]-NRT-code), because 15 step m-reduction 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	No linear OOA(2²⁶⁰, 255, F₂, 3, 139) (dual of [(255, 3), 505, 140]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(2²⁶⁰, 255, F₂, 4, 139) (dual of [(255, 4), 760, 140]-NRT-code)	[i]
3	No linear OOA(2²⁶⁰, 255, F₂, 5, 139) (dual of [(255, 5), 1015, 140]-NRT-code)	[i]
4	No linear OOA(2²⁶⁰, 255, F₂, 6, 139) (dual of [(255, 6), 1270, 140]-NRT-code)	[i]
5	No linear OOA(2²⁶⁰, 255, F₂, 7, 139) (dual of [(255, 7), 1525, 140]-NRT-code)	[i]
6	No linear OOA(2²⁶⁰, 255, F₂, 8, 139) (dual of [(255, 8), 1780, 140]-NRT-code)	[i]