MinT - Information on Result #814159

Information on Result #814159

Linear OOA(3¹⁴⁴, 9841, F₃, 2, 24) (dual of [(9841, 2), 19538, 25]-NRT-code), using OOA 2-folding based on linear OA(3¹⁴⁴, 19682, F₃, 24) (dual of [19682, 19538, 25]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁴⁴, 19683, F₃, 24) (dual of [19683, 19539, 25]-code), using
- 1 times truncation [i] based on linear OA(3¹⁴⁵, 19684, F₃, 25) (dual of [19684, 19539, 26]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 19684Â | 3¹⁸âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (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(3¹⁴⁴, 7287, F₃, 3, 24) (dual of [(7287, 3), 21717, 25]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁴⁴, 7287, F₃, 4, 24) (dual of [(7287, 4), 29004, 25]-NRT-code)	[i]
3	Linear OOA(3¹⁴⁴, 7287, F₃, 5, 24) (dual of [(7287, 5), 36291, 25]-NRT-code)	[i]
4	Digital (120, 144, 7287)-net over F₃	[i]