MinT - Information on Result #554981

Information on Result #554981

There is no linear OOA(2²⁵², 240, F₂, 2, 138) (dual of [(240, 2), 228, 139]-NRT-code), because 22 step m-reduction would yield linear OA(2²³⁰, 240, F₂, 116) (dual of [240, 10, 117]-code), but

residual code [i] would yield linear OA(2¹¹⁴, 123, F₂, 58) (dual of [123, 9, 59]-code), but
- residual code [i] would yield linear OA(2⁵⁶, 64, F₂, 29) (dual of [64, 8, 30]-code), but
  - 1 times truncation [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(2²⁵², 240, F₂, 3, 138) (dual of [(240, 3), 468, 139]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(2²⁵², 240, F₂, 4, 138) (dual of [(240, 4), 708, 139]-NRT-code)	[i]
3	No linear OOA(2²⁵², 240, F₂, 5, 138) (dual of [(240, 5), 948, 139]-NRT-code)	[i]
4	No linear OOA(2²⁵², 240, F₂, 6, 138) (dual of [(240, 6), 1188, 139]-NRT-code)	[i]
5	No linear OOA(2²⁵², 240, F₂, 7, 138) (dual of [(240, 7), 1428, 139]-NRT-code)	[i]
6	No linear OOA(2²⁵², 240, F₂, 8, 138) (dual of [(240, 8), 1668, 139]-NRT-code)	[i]