MinT - Information on Result #812760

Information on Result #812760

Linear OOA(3⁴², 546, F₃, 2, 10) (dual of [(546, 2), 1050, 11]-NRT-code), using OOA 2-folding based on linear OA(3⁴², 1092, F₃, 10) (dual of [1092, 1050, 11]-code), using

discarding factors / shortening the dual code based on linear OA(3⁴², 1093, F₃, 10) (dual of [1093, 1051, 11]-code), using
- the BCH-code C(I) with length 1093Â | 3⁷âˆ’1, defining interval IÂ =Â {−9,−7,−5,…,9}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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(3²³⁸, 4194847, F₃, 2, 20) (dual of [(4194847, 2), 8389456, 21]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(3⁴², 546, F₃, 3, 10) (dual of [(546, 3), 1596, 11]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
3	Linear OOA(3⁴², 546, F₃, 4, 10) (dual of [(546, 4), 2142, 11]-NRT-code)	[i]
4	Linear OOA(3⁴², 546, F₃, 5, 10) (dual of [(546, 5), 2688, 11]-NRT-code)	[i]
5	Digital (32, 42, 546)-net over F₃	[i]