MinT - Information on Result #1071977

Information on Result #1071977

Linear OOA(3¹¹, 2744, F₃, 4, 3) (dual of [(2744, 4), 10965, 4]-NRT-code), using appending 1 arbitrary column based on linear OOA(3¹¹, 2744, F₃, 3, 3) (dual of [(2744, 3), 8221, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3¹¹, 2744, F₃, 2, 3) (dual of [(2744, 2), 5477, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹¹, 2744, F₃, 3) (dual of [2744, 2733, 4]-code or 2744-cap in PG(10,3)), using
  - caps completed using a computer search [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(3⁷¹, 2798945, F₃, 4, 6) (dual of [(2798945, 4), 11195709, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹⁶⁰, 4197044, F₃, 4, 11) (dual of [(4197044, 4), 16788016, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
3	Linear OOA(3¹⁴⁵, 4197044, F₃, 4, 10) (dual of [(4197044, 4), 16788031, 11]-NRT-code)	[i]
4	Linear OOA(3¹²⁹, 4197044, F₃, 4, 9) (dual of [(4197044, 4), 16788047, 10]-NRT-code)	[i]