MinT - Information on Result #558320

Information on Result #558320

There is no linear OOA(3²³¹, 355, F₃, 2, 149) (dual of [(355, 2), 479, 150]-NRT-code), because 2 step m-reduction would yield linear OA(3²²⁹, 355, F₃, 147) (dual of [355, 126, 148]-code), but

residual code [i] would yield linear OA(3⁸², 207, F₃, 49) (dual of [207, 125, 50]-code), but
- 1 times truncation [i] would yield linear OA(3⁸¹, 206, F₃, 48) (dual of [206, 125, 49]-code), but
  - the Johnson bound shows that NÂ â‰¤ 390067 621362 525166 675859 888729 736992 372634 079787 564789 713745 < 3¹²⁵ [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(3²³¹, 355, F₃, 3, 149) (dual of [(355, 3), 834, 150]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(3²³¹, 355, F₃, 4, 149) (dual of [(355, 4), 1189, 150]-NRT-code)	[i]
3	No linear OOA(3²³¹, 355, F₃, 5, 149) (dual of [(355, 5), 1544, 150]-NRT-code)	[i]