MinT - Information on Result #994163

Information on Result #994163

Linear OOA(7¹¹, 323318, F₇, 3, 3) (dual of [(323318, 3), 969943, 4]-NRT-code), using appending kth column based on linear OOA(7¹¹, 323318, F₇, 2, 3) (dual of [(323318, 2), 646625, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7¹¹, 323318, F₇, 3) (dual of [323318, 323307, 4]-code or 323318-cap in PG(10,7)), using
- product of projective cap with cap in AG(6,Â 7) [i] based on linear OA(7⁵, 132, F₇, 3) (dual of [132, 127, 4]-code or 132-cap in PG(4,7)), using
  - caps completed using a computer search [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(7⁶¹, 4166520, F₇, 3, 7) (dual of [(4166520, 3), 12499499, 8]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Digital (8, 11, 323318)-net over F₇	[i]		Net Defined by OOA