MinT - Information on Result #554512

Information on Result #554512

There is no linear OOA(2²³⁵, 233, F₂, 2, 124) (dual of [(233, 2), 231, 125]-NRT-code), because 12 step m-reduction would yield linear OA(2²²³, 233, F₂, 112) (dual of [233, 10, 113]-code), but

residual code [i] would yield linear OA(2¹¹¹, 120, F₂, 56) (dual of [120, 9, 57]-code), but
- residual code [i] would yield linear OA(2⁵⁵, 63, F₂, 28) (dual of [63, 8, 29]-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(2²³⁵, 233, F₂, 3, 124) (dual of [(233, 3), 464, 125]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(2²³⁵, 233, F₂, 4, 124) (dual of [(233, 4), 697, 125]-NRT-code)	[i]
3	No linear OOA(2²³⁵, 233, F₂, 5, 124) (dual of [(233, 5), 930, 125]-NRT-code)	[i]
4	No linear OOA(2²³⁵, 233, F₂, 6, 124) (dual of [(233, 6), 1163, 125]-NRT-code)	[i]
5	No linear OOA(2²³⁵, 233, F₂, 7, 124) (dual of [(233, 7), 1396, 125]-NRT-code)	[i]
6	No linear OOA(2²³⁵, 233, F₂, 8, 124) (dual of [(233, 8), 1629, 125]-NRT-code)	[i]