MinT - Information on Result #557214

Information on Result #557214

There is no linear OOA(3¹⁸⁹, 162, F₃, 2, 139) (dual of [(162, 2), 135, 140]-NRT-code), because 37 step m-reduction would yield linear OA(3¹⁵², 162, F₃, 102) (dual of [162, 10, 103]-code), but

residual code [i] would yield linear OA(3⁵⁰, 59, F₃, 34) (dual of [59, 9, 35]-code), but
- 1 times truncation [i] would yield linear OA(3⁴⁹, 58, F₃, 33) (dual of [58, 9, 34]-code), but
  - residual code [i] would yield linear OA(3¹⁶, 24, F₃, 11) (dual of [24, 8, 12]-code), but
    - â€œBSâ€ 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(3¹⁸⁹, 162, F₃, 3, 139) (dual of [(162, 3), 297, 140]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(3¹⁸⁹, 162, F₃, 4, 139) (dual of [(162, 4), 459, 140]-NRT-code)	[i]
3	No linear OOA(3¹⁸⁹, 162, F₃, 5, 139) (dual of [(162, 5), 621, 140]-NRT-code)	[i]