MinT - Information on Result #894858

Information on Result #894858

Linear OOA(3¹⁸, 206, F₃, 2, 5) (dual of [(206, 2), 394, 6]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁵, 121, F₃, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- appending kth column [i] based on linear OA(3⁵, 121, F₃, 2) (dual of [121, 116, 3]-code), using
  - Hamming code H(5,3) [i]
linear OOA(3¹³, 103, F₃, 2, 5) (dual of [(103, 2), 193, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 13, 103)-net over F₃, using
  - linear code embedding found in 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		This result only	Method
1	Linear OOA(3¹⁰⁹, 4194507, F₃, 2, 10) (dual of [(4194507, 2), 8388905, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹²⁴, 4194507, F₃, 2, 11) (dual of [(4194507, 2), 8388890, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs