MinT - Information on Result #1179044

Information on Result #1179044

Digital (5, 8, 17220)-net over F₉, using net defined by OOA based on linear OOA(9⁸, 17220, F₉, 3, 3) (dual of [(17220, 3), 51652, 4]-NRT-code), using

appending kth column [i] 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.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (44, 50, 5609622)-net over F₉	[i]		(u,Â u+v)-Construction for Nets