MinT - Information on Result #812919

Information on Result #812919

Linear OOA(3⁷², 9841, F₃, 2, 12) (dual of [(9841, 2), 19610, 13]-NRT-code), using OOA 2-folding based on linear OA(3⁷², 19682, F₃, 12) (dual of [19682, 19610, 13]-code), using

discarding factors / shortening the dual code based on linear OA(3⁷², 19683, F₃, 12) (dual of [19683, 19611, 13]-code), using
- 1 times truncation [i] based on linear OA(3⁷³, 19684, F₃, 13) (dual of [19684, 19611, 14]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 19684Â | 3¹⁸âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (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(3⁷², 9841, F₃, 3, 12) (dual of [(9841, 3), 29451, 13]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3⁷², 9841, F₃, 4, 12) (dual of [(9841, 4), 39292, 13]-NRT-code)	[i]
3	Linear OOA(3⁷², 9841, F₃, 5, 12) (dual of [(9841, 5), 49133, 13]-NRT-code)	[i]
4	Digital (60, 72, 9841)-net over F₃	[i]