MinT - Information on Result #555221

Information on Result #555221

There is no linear OOA(2²⁵⁹, 255, F₂, 2, 138) (dual of [(255, 2), 251, 139]-NRT-code), because 14 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(2²⁵⁹, 255, F₂, 3, 138) (dual of [(255, 3), 506, 139]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(2²⁵⁹, 255, F₂, 4, 138) (dual of [(255, 4), 761, 139]-NRT-code)	[i]
3	No linear OOA(2²⁵⁹, 255, F₂, 5, 138) (dual of [(255, 5), 1016, 139]-NRT-code)	[i]
4	No linear OOA(2²⁵⁹, 255, F₂, 6, 138) (dual of [(255, 6), 1271, 139]-NRT-code)	[i]
5	No linear OOA(2²⁵⁹, 255, F₂, 7, 138) (dual of [(255, 7), 1526, 139]-NRT-code)	[i]
6	No linear OOA(2²⁵⁹, 255, F₂, 8, 138) (dual of [(255, 8), 1781, 139]-NRT-code)	[i]