MinT - Information on Result #1071974

Information on Result #1071974

Linear OOA(3⁸, 248, F₃, 4, 3) (dual of [(248, 4), 984, 4]-NRT-code), using appending 1 arbitrary column based on linear OOA(3⁸, 248, F₃, 3, 3) (dual of [(248, 3), 736, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3⁸, 248, F₃, 2, 3) (dual of [(248, 2), 488, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁸, 248, F₃, 3) (dual of [248, 240, 4]-code or 248-cap in PG(7,3)), 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		Method
1	Linear OOA(3⁶⁸, 2796449, F₃, 4, 6) (dual of [(2796449, 4), 11185728, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹⁵⁷, 4194548, F₃, 4, 11) (dual of [(4194548, 4), 16778035, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
3	Linear OOA(3¹⁴², 4194548, F₃, 4, 10) (dual of [(4194548, 4), 16778050, 11]-NRT-code)	[i]
4	Linear OOA(3¹²⁶, 4194548, F₃, 4, 9) (dual of [(4194548, 4), 16778066, 10]-NRT-code)	[i]