MinT - Information on Result #994181

Information on Result #994181

Linear OOA(9⁸, 17220, F₉, 3, 3) (dual of [(17220, 3), 51652, 4]-NRT-code), using appending kth column based on linear OOA(9⁸, 17220, F₉, 2, 3) (dual of [(17220, 2), 34432, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9⁸, 17220, F₉, 3) (dual of [17220, 17212, 4]-code or 17220-cap in PG(7,9)), using
- product of projective cap with cap in AG(4,Â 9) [i] based on linear OA(9⁴, 82, F₉, 3) (dual of [82, 78, 4]-code or 82-cap in PG(3,9)), using
  - ovoid in PG(3,Â 9) [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(9⁵⁰, 5609622, F₉, 3, 6) (dual of [(5609622, 3), 16828816, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(9⁵⁸, 5609622, F₉, 3, 7) (dual of [(5609622, 3), 16828808, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Digital (5, 8, 17220)-net over F₉	[i]	Net Defined by OOA