MinT - Information on Result #994185

Information on Result #994185

Linear OOA(9¹², 5580100, F₉, 3, 3) (dual of [(5580100, 3), 16740288, 4]-NRT-code), using appending kth column based on linear OOA(9¹², 5580100, F₉, 2, 3) (dual of [(5580100, 2), 11160188, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9¹², 5580100, F₉, 3) (dual of [5580100, 5580088, 4]-code or 5580100-cap in PG(11,9)), using
- product of projective cap with cap in AG(5,Â 9) [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, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(9⁵⁴, large, F₉, 3, 6)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(9⁶², large, F₉, 3, 7)	[i]	(u,Â u+v)-Construction for OOAs
3	Digital (9, 12, 5580100)-net over F₉	[i]	Net Defined by OOA