MinT - Information on Result #994118

Information on Result #994118

Linear OOA(3¹³, 13312, F₃, 3, 3) (dual of [(13312, 3), 39923, 4]-NRT-code), using appending kth column based on linear OOA(3¹³, 13312, F₃, 2, 3) (dual of [(13312, 2), 26611, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹³, 13312, F₃, 3) (dual of [13312, 13299, 4]-code or 13312-cap in PG(12,3)), 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(3⁷⁴, 2809513, F₃, 3, 7) (dual of [(2809513, 3), 8428465, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹³, 13312, F₃, 4, 3) (dual of [(13312, 4), 53235, 4]-NRT-code)	[i]	Appending Arbitrary Columns
3	Linear OOA(3¹³, 13312, F₃, 5, 3) (dual of [(13312, 5), 66547, 4]-NRT-code)	[i]	Appending Arbitrary Columns
4	Digital (10, 13, 13312)-net over F₃	[i]	Net Defined by OOA