MinT - Information on Result #813445

Information on Result #813445

Linear OOA(3¹⁰⁸, 9841, F₃, 2, 18) (dual of [(9841, 2), 19574, 19]-NRT-code), using OOA 2-folding based on linear OA(3¹⁰⁸, 19682, F₃, 18) (dual of [19682, 19574, 19]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁰⁸, 19683, F₃, 18) (dual of [19683, 19575, 19]-code), using
- 1 times truncation [i] based on linear OA(3¹⁰⁹, 19684, F₃, 19) (dual of [19684, 19575, 20]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 19684Â | 3¹⁸âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [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(3¹⁰⁸, 7544, F₃, 3, 18) (dual of [(7544, 3), 22524, 19]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁰⁸, 7544, F₃, 4, 18) (dual of [(7544, 4), 30068, 19]-NRT-code)	[i]
3	Linear OOA(3¹⁰⁸, 7544, F₃, 5, 18) (dual of [(7544, 5), 37612, 19]-NRT-code)	[i]
4	Digital (90, 108, 7544)-net over F₃	[i]