MinT - Information on Result #527443

Information on Result #527443

There is no linear OA(3¹², 15, F₃, 9) (dual of [15, 3, 10]-code), because Griesmer bound

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 OOA(3¹³, 15, F₃, 2, 10) (dual of [(15, 2), 17, 11]-NRT-code)	[i]		m-Reduction for OOAs
2	No linear OOA(3¹², 15, F₃, 2, 9) (dual of [(15, 2), 18, 10]-NRT-code)	[i]		Depth Reduction
3	No linear OOA(3¹², 15, F₃, 3, 9) (dual of [(15, 3), 33, 10]-NRT-code)	[i]
4	No linear OOA(3¹², 15, F₃, 4, 9) (dual of [(15, 4), 48, 10]-NRT-code)	[i]
5	No linear OOA(3¹², 15, F₃, 5, 9) (dual of [(15, 5), 63, 10]-NRT-code)	[i]
6	No digital (3, 12, 15)-net over F₃	[i]		Extracting Embedded Orthogonal Array
7	No linear OA(3¹³, 19, F₃, 9) (dual of [19, 6, 10]-code)	[i]		ConstructionÂ Y1 (Bound)