MinT - Information on Result #945594

Information on Result #945594

Linear OOA(2⁹⁶, 1365, F₂, 3, 16) (dual of [(1365, 3), 3999, 17]-NRT-code), using OOA 3-folding based on linear OA(2⁹⁶, 4095, F₂, 16) (dual of [4095, 3999, 17]-code), using

discarding factors / shortening the dual code based on linear OA(2⁹⁶, 4096, F₂, 16) (dual of [4096, 4000, 17]-code), using
- 1 times truncation [i] based on linear OA(2⁹⁷, 4097, F₂, 17) (dual of [4097, 4000, 18]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 4097Â | 2²⁴âˆ’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(2⁹⁶, 1122, F₂, 4, 16) (dual of [(1122, 4), 4392, 17]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2⁹⁶, 1122, F₂, 5, 16) (dual of [(1122, 5), 5514, 17]-NRT-code)	[i]
3	Linear OOA(2⁹⁶, 1122, F₂, 6, 16) (dual of [(1122, 6), 6636, 17]-NRT-code)	[i]
4	Linear OOA(2⁹⁶, 1122, F₂, 7, 16) (dual of [(1122, 7), 7758, 17]-NRT-code)	[i]
5	Linear OOA(2⁹⁶, 1122, F₂, 8, 16) (dual of [(1122, 8), 8880, 17]-NRT-code)	[i]
6	Digital (80, 96, 1122)-net over F₂	[i]