MinT - Information on Result #1071986

Information on Result #1071986

Linear OOA(3²⁰, 3713024, F₃, 4, 3) (dual of [(3713024, 4), 14852076, 4]-NRT-code), using appending 1 arbitrary column based on linear OOA(3²⁰, 3713024, F₃, 3, 3) (dual of [(3713024, 3), 11139052, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3²⁰, 3713024, F₃, 2, 3) (dual of [(3713024, 2), 7426028, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3²⁰, 3713024, F₃, 3) (dual of [3713024, 3713004, 4]-code or 3713024-cap in PG(19,3)), using
  - large caps in PG(u,Â 3) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3⁸⁰, 5592402, F₃, 4, 6) (dual of [(5592402, 4), 22369528, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3⁷⁷, 3188646, F₃, 4, 7) (dual of [(3188646, 4), 12754507, 8]-NRT-code)	[i]
3	Linear OOA(3⁷⁸, 3188656, F₃, 4, 7) (dual of [(3188656, 4), 12754546, 8]-NRT-code)	[i]
4	Linear OOA(3⁸², 5592406, F₃, 4, 6) (dual of [(5592406, 4), 22369542, 7]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
5	Linear OOA(3⁸³, 5592415, F₃, 4, 6) (dual of [(5592415, 4), 22369577, 7]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs