MinT - Information on Result #2160123

Information on Result #2160123

There is no linear OA(3⁹, 13, F₃, 7) (dual of [13, 4, 8]-code), because 1 times truncation 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(3³⁰, 35, F₃, 21) (dual of [35, 5, 22]-code)	[i]		Residual Code
2	No linear OA(3¹⁰, 21, F₃, 7) (dual of [21, 11, 8]-code)	[i]		ConstructionÂ Y1 (Bound)