MinT - Information on Result #1107142

Information on Result #1107142

Linear OOA(3¹³, 13312, F₃, 5, 3) (dual of [(13312, 5), 66547, 4]-NRT-code), using appending 2 arbitrary columns based on linear OOA(3¹³, 13312, F₃, 3, 3) (dual of [(13312, 3), 39923, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3¹³, 13312, F₃, 2, 3) (dual of [(13312, 2), 26611, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹³, 13312, F₃, 3) (dual of [13312, 13299, 4]-code or 13312-cap in PG(12,3)), using
  - caps completed using a computer search [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(3¹⁶², 3368752, F₃, 5, 11) (dual of [(3368752, 5), 16843598, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
2	Linear OOA(3²⁰⁸, 6724192, F₃, 5, 11) (dual of [(6724192, 5), 33620752, 12]-NRT-code)	[i]
3	Linear OOA(3¹⁴⁷, 3368752, F₃, 5, 10) (dual of [(3368752, 5), 16843613, 11]-NRT-code)	[i]
4	Linear OOA(3¹³¹, 4207612, F₃, 5, 9) (dual of [(4207612, 5), 21037929, 10]-NRT-code)	[i]