MinT - Information on Result #994121

Information on Result #994121

Linear OOA(3¹⁶, 146944, F₃, 3, 3) (dual of [(146944, 3), 440816, 4]-NRT-code), using appending kth column based on linear OOA(3¹⁶, 146944, F₃, 2, 3) (dual of [(146944, 2), 293872, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹⁶, 146944, F₃, 3) (dual of [146944, 146928, 4]-code or 146944-cap in PG(15,3)), using
- large caps in PG(u,Â 3) [i]

Mode: Constructive and 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	Linear OOA(3¹⁶, 146944, F₃, 4, 3) (dual of [(146944, 4), 587760, 4]-NRT-code)	[i]	Appending Arbitrary Columns
2	Linear OOA(3¹⁶, 146944, F₃, 5, 3) (dual of [(146944, 5), 734704, 4]-NRT-code)	[i]	Appending Arbitrary Columns
3	Digital (13, 16, 146944)-net over F₃	[i]	Net Defined by OOA