MinT - Information on Result #552177

Information on Result #552177

There is no linear OOA(2¹⁵¹, 144, F₂, 2, 84) (dual of [(144, 2), 137, 85]-NRT-code), because 16 step m-reduction would yield linear OA(2¹³⁵, 144, F₂, 68) (dual of [144, 9, 69]-code), but

residual code [i] would yield linear OA(2⁶⁷, 75, F₂, 34) (dual of [75, 8, 35]-code), but
- adding a parity check bit [i] would yield linear OA(2⁶⁸, 76, F₂, 35) (dual of [76, 8, 36]-code), but
  - â€œBJVâ€ 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(2¹⁵¹, 144, F₂, 3, 84) (dual of [(144, 3), 281, 85]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(2¹⁵¹, 144, F₂, 4, 84) (dual of [(144, 4), 425, 85]-NRT-code)	[i]
3	No linear OOA(2¹⁵¹, 144, F₂, 5, 84) (dual of [(144, 5), 569, 85]-NRT-code)	[i]
4	No linear OOA(2¹⁵¹, 144, F₂, 6, 84) (dual of [(144, 6), 713, 85]-NRT-code)	[i]
5	No linear OOA(2¹⁵¹, 144, F₂, 7, 84) (dual of [(144, 7), 857, 85]-NRT-code)	[i]
6	No linear OOA(2¹⁵¹, 144, F₂, 8, 84) (dual of [(144, 8), 1001, 85]-NRT-code)	[i]