MinT - Information on Result #994114

Information on Result #994114

Linear OOA(3⁹, 532, F₃, 3, 3) (dual of [(532, 3), 1587, 4]-NRT-code), using appending kth column based on linear OOA(3⁹, 532, F₃, 2, 3) (dual of [(532, 2), 1055, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁹, 532, F₃, 3) (dual of [532, 523, 4]-code or 532-cap in PG(8,3)), 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(3⁶⁹, 2796733, F₃, 3, 6) (dual of [(2796733, 3), 8390130, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3⁷⁰, 2796733, F₃, 3, 7) (dual of [(2796733, 3), 8390129, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(3¹⁶¹, 5592934, F₃, 3, 11) (dual of [(5592934, 3), 16778641, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
4	Linear OOA(3¹⁴⁶, 5592934, F₃, 3, 10) (dual of [(5592934, 3), 16778656, 11]-NRT-code)	[i]
5	Linear OOA(3¹²⁸, 5592934, F₃, 3, 9) (dual of [(5592934, 3), 16778674, 10]-NRT-code)	[i]
6	Linear OOA(3⁹, 532, F₃, 4, 3) (dual of [(532, 4), 2119, 4]-NRT-code)	[i]	Appending Arbitrary Columns
7	Linear OOA(3⁹, 532, F₃, 5, 3) (dual of [(532, 5), 2651, 4]-NRT-code)	[i]	Appending Arbitrary Columns
8	Digital (6, 9, 532)-net over F₃	[i]	Net Defined by OOA