MinT - Information on Result #814984

Information on Result #814984

Linear OOA(3¹⁶⁰, 3280, F₃, 2, 30) (dual of [(3280, 2), 6400, 31]-NRT-code), using OOA 2-folding based on linear OA(3¹⁶⁰, 6560, F₃, 30) (dual of [6560, 6400, 31]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁶⁰, 6561, F₃, 30) (dual of [6561, 6401, 31]-code), using
- 1 times truncation [i] based on linear OA(3¹⁶¹, 6562, F₃, 31) (dual of [6562, 6401, 32]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 6562Â | 3¹⁶âˆ’1, defining interval IÂ =Â [0,15], and minimum distance dÂ â‰¥ |{−15,−14,…,15}|+1Â =Â 32 (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(3¹⁶⁰, 3280, F₃, 3, 30) (dual of [(3280, 3), 9680, 31]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁶⁰, 3280, F₃, 4, 30) (dual of [(3280, 4), 12960, 31]-NRT-code)	[i]
3	Linear OOA(3¹⁶⁰, 3280, F₃, 5, 30) (dual of [(3280, 5), 16240, 31]-NRT-code)	[i]
4	Digital (130, 160, 3280)-net over F₃	[i]