MinT - Information on Result #554487

Information on Result #554487

There is no linear OOA(2²³⁴, 236, F₂, 2, 122) (dual of [(236, 2), 238, 123]-NRT-code), because 10 step m-reduction would yield linear OA(2²²⁴, 236, F₂, 112) (dual of [236, 12, 113]-code), but

residual code [i] would yield linear OA(2¹¹², 123, F₂, 56) (dual of [123, 11, 57]-code), but
- residual code [i] would yield linear OA(2⁵⁶, 66, F₂, 28) (dual of [66, 10, 29]-code), but
  - adding a parity check bit [i] would yield linear OA(2⁵⁷, 67, F₂, 29) (dual of [67, 10, 30]-code), but
    - â€œJaâ€ 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(2²³⁴, 236, F₂, 3, 122) (dual of [(236, 3), 474, 123]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(2²³⁴, 236, F₂, 4, 122) (dual of [(236, 4), 710, 123]-NRT-code)	[i]
3	No linear OOA(2²³⁴, 236, F₂, 5, 122) (dual of [(236, 5), 946, 123]-NRT-code)	[i]
4	No linear OOA(2²³⁴, 236, F₂, 6, 122) (dual of [(236, 6), 1182, 123]-NRT-code)	[i]
5	No linear OOA(2²³⁴, 236, F₂, 7, 122) (dual of [(236, 7), 1418, 123]-NRT-code)	[i]
6	No linear OOA(2²³⁴, 236, F₂, 8, 122) (dual of [(236, 8), 1654, 123]-NRT-code)	[i]