MinT - Information on Result #1095626

Information on Result #1095626

Linear OOA(2¹⁶⁰, 209715, F₂, 5, 16) (dual of [(209715, 5), 1048415, 17]-NRT-code), using OOA 5-folding based on linear OA(2¹⁶⁰, 1048575, F₂, 16) (dual of [1048575, 1048415, 17]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁶⁰, 1048576, F₂, 16) (dual of [1048576, 1048416, 17]-code), using
- 1 times truncation [i] based on linear OA(2¹⁶¹, 1048577, F₂, 17) (dual of [1048577, 1048416, 18]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 1048577Â | 2⁴⁰âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (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(2¹⁶⁰, 209715, F₂, 6, 16) (dual of [(209715, 6), 1258130, 17]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹⁶⁰, 209715, F₂, 7, 16) (dual of [(209715, 7), 1467845, 17]-NRT-code)	[i]
3	Linear OOA(2¹⁶⁰, 209715, F₂, 8, 16) (dual of [(209715, 8), 1677560, 17]-NRT-code)	[i]
4	Digital (144, 160, 209715)-net over F₂	[i]