MinT - Information on Result #1071978

Information on Result #1071978

Linear OOA(3¹², 6464, F₃, 4, 3) (dual of [(6464, 4), 25844, 4]-NRT-code), using appending 1 arbitrary column 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, 4200764, F₃, 4, 11) (dual of [(4200764, 4), 16802895, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹⁴⁶, 4200764, F₃, 4, 10) (dual of [(4200764, 4), 16802910, 11]-NRT-code)	[i]
3	Linear OOA(3¹³⁰, 4200764, F₃, 4, 9) (dual of [(4200764, 4), 16802926, 10]-NRT-code)	[i]