MinT - Information on Result #994180

Information on Result #994180

Linear OOA(9⁷, 6723, F₉, 3, 3) (dual of [(6723, 3), 20162, 4]-NRT-code), using appending kth column based on linear OOA(9⁷, 6723, F₉, 2, 3) (dual of [(6723, 2), 13439, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9⁷, 6723, F₉, 3) (dual of [6723, 6716, 4]-code or 6723-cap in PG(6,9)), using
- product of two caps with tangent hyperplane [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(9⁴⁹, 5599125, F₉, 3, 6) (dual of [(5599125, 3), 16797326, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(9⁵⁷, 5599125, F₉, 3, 7) (dual of [(5599125, 3), 16797318, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Digital (4, 7, 6723)-net over F₉	[i]	Net Defined by OOA