MinT - Information on Result #1107140

Information on Result #1107140

Linear OOA(3¹¹, 2744, F₃, 5, 3) (dual of [(2744, 5), 13709, 4]-NRT-code), using appending 2 arbitrary columns 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, 5, 6) (dual of [(2798945, 5), 13994654, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹⁶⁰, 3358184, F₃, 5, 11) (dual of [(3358184, 5), 16790760, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
3	Linear OOA(3²⁰⁶, 6713624, F₃, 5, 11) (dual of [(6713624, 5), 33567914, 12]-NRT-code)	[i]
4	Linear OOA(3¹⁴⁵, 3358184, F₃, 5, 10) (dual of [(3358184, 5), 16790775, 11]-NRT-code)	[i]
5	Linear OOA(3¹⁹¹, 6713624, F₃, 5, 10) (dual of [(6713624, 5), 33567929, 11]-NRT-code)	[i]
6	Linear OOA(3¹²⁹, 4197044, F₃, 5, 9) (dual of [(4197044, 5), 20985091, 10]-NRT-code)	[i]