MinT - Information on Result #558201

Information on Result #558201

There is no linear OOA(3²²⁷, 193, F₃, 2, 166) (dual of [(193, 2), 159, 167]-NRT-code), because 40 step m-reduction would yield linear OA(3¹⁸⁷, 193, F₃, 126) (dual of [193, 6, 127]-code), but

residual code [i] would yield linear OA(3⁶¹, 66, F₃, 42) (dual of [66, 5, 43]-code), but
- residual code [i] would yield linear OA(3¹⁹, 23, F₃, 14) (dual of [23, 4, 15]-code), but
  - 2 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(3²²⁷, 193, F₃, 3, 166) (dual of [(193, 3), 352, 167]-NRT-code)	[i]	Depth Reduction
2	No linear OOA(3²²⁷, 193, F₃, 4, 166) (dual of [(193, 4), 545, 167]-NRT-code)	[i]
3	No linear OOA(3²²⁷, 193, F₃, 5, 166) (dual of [(193, 5), 738, 167]-NRT-code)	[i]