MinT - Information on Result #1071980

Information on Result #1071980

Linear OOA(3¹⁴, 30464, F₃, 4, 3) (dual of [(30464, 4), 121842, 4]-NRT-code), using appending 1 arbitrary column based on linear OOA(3¹⁴, 30464, F₃, 3, 3) (dual of [(30464, 3), 91378, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3¹⁴, 30464, F₃, 2, 3) (dual of [(30464, 2), 60914, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹⁴, 30464, F₃, 3) (dual of [30464, 30450, 4]-code or 30464-cap in PG(13,3)), using
  - large caps in PG(u,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(3¹⁶³, 4224764, F₃, 4, 11) (dual of [(4224764, 4), 16898893, 12]-NRT-code)	[i]		Generalized (u,Â u+v)-Construction for OOAs