MinT - Information on Result #1107141

Information on Result #1107141

Linear OOA(3¹², 6464, F₃, 5, 3) (dual of [(6464, 5), 32308, 4]-NRT-code), using appending 2 arbitrary columns based on linear OOA(3¹², 6464, F₃, 3, 3) (dual of [(6464, 3), 19380, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3¹², 6464, F₃, 2, 3) (dual of [(6464, 2), 12916, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹², 6464, F₃, 3) (dual of [6464, 6452, 4]-code or 6464-cap in PG(11,3)), 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(3¹⁶¹, 3361904, F₃, 5, 11) (dual of [(3361904, 5), 16809359, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
2	Linear OOA(3²⁰⁷, 6717344, F₃, 5, 11) (dual of [(6717344, 5), 33586513, 12]-NRT-code)	[i]
3	Linear OOA(3¹⁴⁶, 3361904, F₃, 5, 10) (dual of [(3361904, 5), 16809374, 11]-NRT-code)	[i]
4	Linear OOA(3¹⁹², 6717344, F₃, 5, 10) (dual of [(6717344, 5), 33586528, 11]-NRT-code)	[i]
5	Linear OOA(3¹³⁰, 4200764, F₃, 5, 9) (dual of [(4200764, 5), 21003690, 10]-NRT-code)	[i]