MinT - Information on Result #2160201

Information on Result #2160201

There is no linear OA(3⁸¹, 87, F₃, 55) (dual of [87, 6, 56]-code), because 1 times truncation would yield linear OA(3⁸⁰, 86, F₃, 54) (dual of [86, 6, 55]-code), but

residual code [i] would yield linear OA(3²⁶, 31, F₃, 18) (dual of [31, 5, 19]-code), but
- residual code [i] would yield linear OA(3⁸, 12, F₃, 6) (dual of [12, 4, 7]-code), but
  - residual code [i] would yield linear OA(3², 5, F₃, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,3)), but
    - improvement by Maruta on the Griesmer bound [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	No linear OA(3²⁴⁶, 253, F₃, 165) (dual of [253, 7, 166]-code)	[i]		Residual Code