MinT - Information on Result #994123

Information on Result #994123

Linear OOA(3¹⁸, 745472, F₃, 3, 3) (dual of [(745472, 3), 2236398, 4]-NRT-code), using appending kth column based on linear OOA(3¹⁸, 745472, F₃, 2, 3) (dual of [(745472, 2), 1490926, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹⁸, 745472, F₃, 3) (dual of [745472, 745454, 4]-code or 745472-cap in PG(17,3)), 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(3⁷⁹, 3541673, F₃, 3, 7) (dual of [(3541673, 3), 10624940, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹⁸, 745472, F₃, 4, 3) (dual of [(745472, 4), 2981870, 4]-NRT-code)	[i]	Appending Arbitrary Columns
3	Linear OOA(3¹⁸, 745472, F₃, 5, 3) (dual of [(745472, 5), 3727342, 4]-NRT-code)	[i]	Appending Arbitrary Columns
4	Digital (15, 18, 745472)-net over F₃	[i]	Net Defined by OOA