MinT - Information on Result #946002

Information on Result #946002

Linear OOA(2¹²⁰, 1365, F₂, 3, 20) (dual of [(1365, 3), 3975, 21]-NRT-code), using OOA 3-folding based on linear OA(2¹²⁰, 4095, F₂, 20) (dual of [4095, 3975, 21]-code), using

discarding factors / shortening the dual code based on linear OA(2¹²⁰, 4096, F₂, 20) (dual of [4096, 3976, 21]-code), using
- 1 times truncation [i] based on linear OA(2¹²¹, 4097, F₂, 21) (dual of [4097, 3976, 22]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 4097Â | 2²⁴âˆ’1, defining interval IÂ =Â [0,10], and minimum distance dÂ â‰¥ |{−10,−9,…,10}|+1Â =Â 22 (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(2¹²⁰, 1058, F₂, 4, 20) (dual of [(1058, 4), 4112, 21]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹²⁰, 1058, F₂, 5, 20) (dual of [(1058, 5), 5170, 21]-NRT-code)	[i]
3	Linear OOA(2¹²⁰, 1058, F₂, 6, 20) (dual of [(1058, 6), 6228, 21]-NRT-code)	[i]
4	Linear OOA(2¹²⁰, 1058, F₂, 7, 20) (dual of [(1058, 7), 7286, 21]-NRT-code)	[i]
5	Linear OOA(2¹²⁰, 1058, F₂, 8, 20) (dual of [(1058, 8), 8344, 21]-NRT-code)	[i]
6	Digital (100, 120, 1058)-net over F₂	[i]