MinT - Information on Result #552493

Information on Result #552493

There is no linear OOA(2¹⁶⁴, 174, F₂, 2, 83) (dual of [(174, 2), 184, 84]-NRT-code), because 1 step m-reduction would yield linear OA(2¹⁶³, 174, F₂, 82) (dual of [174, 11, 83]-code), but

residual code [i] would yield linear OA(2⁸¹, 91, F₂, 41) (dual of [91, 10, 42]-code), but
- 1 times truncation [i] would yield linear OA(2⁸⁰, 90, F₂, 40) (dual of [90, 10, 41]-code), but
  - residual code [i] would yield linear OA(2⁴⁰, 49, F₂, 20) (dual of [49, 9, 21]-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(2¹⁶⁴, 174, F₂, 3, 83) (dual of [(174, 3), 358, 84]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(2¹⁶⁴, 174, F₂, 4, 83) (dual of [(174, 4), 532, 84]-NRT-code)	[i]
3	No linear OOA(2¹⁶⁴, 174, F₂, 5, 83) (dual of [(174, 5), 706, 84]-NRT-code)	[i]
4	No linear OOA(2¹⁶⁴, 174, F₂, 6, 83) (dual of [(174, 6), 880, 84]-NRT-code)	[i]
5	No linear OOA(2¹⁶⁴, 174, F₂, 7, 83) (dual of [(174, 7), 1054, 84]-NRT-code)	[i]
6	No linear OOA(2¹⁶⁴, 174, F₂, 8, 83) (dual of [(174, 8), 1228, 84]-NRT-code)	[i]