MinT - Information on Result #994162

Information on Result #994162

Linear OOA(7¹⁰, 122500, F₇, 3, 3) (dual of [(122500, 3), 367490, 4]-NRT-code), using appending kth column based on linear OOA(7¹⁰, 122500, F₇, 2, 3) (dual of [(122500, 2), 244990, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7¹⁰, 122500, F₇, 3) (dual of [122500, 122490, 4]-code or 122500-cap in PG(9,7)), using
- product of projective cap with cap in AG(6,Â 7) [i] based on linear OA(7⁴, 50, F₇, 3) (dual of [50, 46, 4]-code or 50-cap in PG(3,7)), using
  - ovoid in PG(3,Â 7) [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		This result only	Method
1	Linear OOA(7⁶⁰, 3965702, F₇, 3, 7) (dual of [(3965702, 3), 11897046, 8]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Digital (7, 10, 122500)-net over F₇	[i]		Net Defined by OOA