MinT - Information on Result #1107133

Information on Result #1107133

Linear OOA(3⁴, 10, F₃, 5, 3) (dual of [(10, 5), 46, 4]-NRT-code), using appending 2 arbitrary columns 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		Method
1	Linear OOA(3⁶⁴, 2796211, F₃, 5, 6) (dual of [(2796211, 5), 13980991, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹⁵³, 3355450, F₃, 5, 11) (dual of [(3355450, 5), 16777097, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
3	Linear OOA(3¹⁹⁹, 6710890, F₃, 5, 11) (dual of [(6710890, 5), 33554251, 12]-NRT-code)	[i]
4	Linear OOA(3¹³⁸, 3355450, F₃, 5, 10) (dual of [(3355450, 5), 16777112, 11]-NRT-code)	[i]
5	Linear OOA(3¹⁸⁴, 6710890, F₃, 5, 10) (dual of [(6710890, 5), 33554266, 11]-NRT-code)	[i]
6	Linear OOA(3¹²², 4194310, F₃, 5, 9) (dual of [(4194310, 5), 20971428, 10]-NRT-code)	[i]