MinT - Information on Result #1107137

Information on Result #1107137

Linear OOA(3⁸, 248, F₃, 5, 3) (dual of [(248, 5), 1232, 4]-NRT-code), using appending 2 arbitrary columns 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, 5, 6) (dual of [(2796449, 5), 13982177, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹⁵⁷, 3355688, F₃, 5, 11) (dual of [(3355688, 5), 16778283, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
3	Linear OOA(3²⁰³, 6711128, F₃, 5, 11) (dual of [(6711128, 5), 33555437, 12]-NRT-code)	[i]
4	Linear OOA(3¹⁴², 3355688, F₃, 5, 10) (dual of [(3355688, 5), 16778298, 11]-NRT-code)	[i]
5	Linear OOA(3¹⁸⁸, 6711128, F₃, 5, 10) (dual of [(6711128, 5), 33555452, 11]-NRT-code)	[i]
6	Linear OOA(3¹²⁶, 4194548, F₃, 5, 9) (dual of [(4194548, 5), 20972614, 10]-NRT-code)	[i]