MinT - Information on Result #994183

Information on Result #994183

Linear OOA(9¹⁰, 544644, F₉, 3, 3) (dual of [(544644, 3), 1633922, 4]-NRT-code), using appending kth column based on linear OOA(9¹⁰, 544644, F₉, 2, 3) (dual of [(544644, 2), 1089278, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9¹⁰, 544644, F₉, 3) (dual of [544644, 544634, 4]-code or 544644-cap in PG(9,9)), using
- product of projective cap with cap in AG(6,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(9⁵², 6137046, F₉, 3, 6) (dual of [(6137046, 3), 18411086, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(9⁶⁰, 6137046, F₉, 3, 7) (dual of [(6137046, 3), 18411078, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Digital (7, 10, 544644)-net over F₉	[i]	Net Defined by OOA