MinT - Information on Result #1071970

Information on Result #1071970

Linear OOA(3⁴, 10, F₃, 4, 3) (dual of [(10, 4), 36, 4]-NRT-code), using appending 1 arbitrary column based on linear OOA(3⁴, 10, F₃, 3, 3) (dual of [(10, 3), 26, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3⁴, 10, F₃, 2, 3) (dual of [(10, 2), 16, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁴, 10, F₃, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
  - ovoid in PG(3,Â 3) [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(3⁶⁴, 2796211, F₃, 4, 6) (dual of [(2796211, 4), 11184780, 7]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹²², 4194310, F₃, 4, 9) (dual of [(4194310, 4), 16777118, 10]-NRT-code)	[i]		Generalized (u,Â u+v)-Construction for OOAs