MinT - Information on Result #947370

Information on Result #947370

Linear OOA(2¹⁹², 1365, F₂, 3, 32) (dual of [(1365, 3), 3903, 33]-NRT-code), using OOA 3-folding based on linear OA(2¹⁹², 4095, F₂, 32) (dual of [4095, 3903, 33]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁹², 4096, F₂, 32) (dual of [4096, 3904, 33]-code), using
- 1 times truncation [i] based on linear OA(2¹⁹³, 4097, F₂, 33) (dual of [4097, 3904, 34]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 4097Â | 2²⁴âˆ’1, defining interval IÂ =Â [0,16], and minimum distance dÂ â‰¥ |{−16,−15,…,16}|+1Â =Â 34 (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(2¹⁹², 1176, F₂, 4, 32) (dual of [(1176, 4), 4512, 33]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹⁹², 1176, F₂, 5, 32) (dual of [(1176, 5), 5688, 33]-NRT-code)	[i]
3	Linear OOA(2¹⁹², 1176, F₂, 6, 32) (dual of [(1176, 6), 6864, 33]-NRT-code)	[i]
4	Linear OOA(2¹⁹², 1176, F₂, 7, 32) (dual of [(1176, 7), 8040, 33]-NRT-code)	[i]
5	Linear OOA(2¹⁹², 1176, F₂, 8, 32) (dual of [(1176, 8), 9216, 33]-NRT-code)	[i]
6	Digital (160, 192, 1176)-net over F₂	[i]