MinT - Information on Result #557289

Information on Result #557289

There is no linear OOA(3¹⁹³, 180, F₃, 2, 136) (dual of [(180, 2), 167, 137]-NRT-code), because 19 step m-reduction would yield linear OA(3¹⁷⁴, 180, F₃, 117) (dual of [180, 6, 118]-code), but

residual code [i] would yield linear OA(3⁵⁷, 62, F₃, 39) (dual of [62, 5, 40]-code), but
- residual code [i] would yield linear OA(3¹⁸, 22, F₃, 13) (dual of [22, 4, 14]-code), but
  - 1 times truncation [i] would yield linear OA(3¹⁷, 21, F₃, 12) (dual of [21, 4, 13]-code), but
    - â€œHNâ€ 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(3¹⁹³, 180, F₃, 3, 136) (dual of [(180, 3), 347, 137]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(3¹⁹³, 180, F₃, 4, 136) (dual of [(180, 4), 527, 137]-NRT-code)	[i]
3	No linear OOA(3¹⁹³, 180, F₃, 5, 136) (dual of [(180, 5), 707, 137]-NRT-code)	[i]