MinT - Information on Result #1071976

Information on Result #1071976

Linear OOA(3¹⁰, 1216, F₃, 4, 3) (dual of [(1216, 4), 4854, 4]-NRT-code), using appending 1 arbitrary column based on linear OOA(3¹⁰, 1216, F₃, 3, 3) (dual of [(1216, 3), 3638, 4]-NRT-code), using

appending kth column [i] 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, 4, 6) (dual of [(2797417, 4), 11189598, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹⁵⁹, 4195516, F₃, 4, 11) (dual of [(4195516, 4), 16781905, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
3	Linear OOA(3¹⁴⁴, 4195516, F₃, 4, 10) (dual of [(4195516, 4), 16781920, 11]-NRT-code)	[i]
4	Linear OOA(3¹²⁸, 4195516, F₃, 4, 9) (dual of [(4195516, 4), 16781936, 10]-NRT-code)	[i]