MinT - Information on Result #994115

Information on Result #994115

Linear OOA(3¹⁰, 1216, F₃, 3, 3) (dual of [(1216, 3), 3638, 4]-NRT-code), using appending kth column based on linear OOA(3¹⁰, 1216, F₃, 2, 3) (dual of [(1216, 2), 2422, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹⁰, 1216, F₃, 3) (dual of [1216, 1206, 4]-code or 1216-cap in PG(9,3)), 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(3⁷⁰, 2797417, F₃, 3, 6) (dual of [(2797417, 3), 8392181, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3⁷¹, 2797417, F₃, 3, 7) (dual of [(2797417, 3), 8392180, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(3¹⁶², 5593618, F₃, 3, 11) (dual of [(5593618, 3), 16780692, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
4	Linear OOA(3¹⁴⁷, 5593618, F₃, 3, 10) (dual of [(5593618, 3), 16780707, 11]-NRT-code)	[i]
5	Linear OOA(3¹²⁹, 5593618, F₃, 3, 9) (dual of [(5593618, 3), 16780725, 10]-NRT-code)	[i]
6	Linear OOA(3¹⁰, 1216, F₃, 4, 3) (dual of [(1216, 4), 4854, 4]-NRT-code)	[i]	Appending Arbitrary Columns
7	Linear OOA(3¹⁰, 1216, F₃, 5, 3) (dual of [(1216, 5), 6070, 4]-NRT-code)	[i]	Appending Arbitrary Columns
8	Digital (7, 10, 1216)-net over F₃	[i]	Net Defined by OOA