MinT - Information on Result #948150

Information on Result #948150

Linear OOA(2²⁴⁰, 1365, F₂, 3, 40) (dual of [(1365, 3), 3855, 41]-NRT-code), using OOA 3-folding based on linear OA(2²⁴⁰, 4095, F₂, 40) (dual of [4095, 3855, 41]-code), using

discarding factors / shortening the dual code based on linear OA(2²⁴⁰, 4096, F₂, 40) (dual of [4096, 3856, 41]-code), using
- 1 times truncation [i] based on linear OA(2²⁴¹, 4097, F₂, 41) (dual of [4097, 3856, 42]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 4097Â | 2²⁴âˆ’1, defining interval IÂ =Â [0,20], and minimum distance dÂ â‰¥ |{−20,−19,…,20}|+1Â =Â 42 (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(2²⁴⁰, 1317, F₂, 4, 40) (dual of [(1317, 4), 5028, 41]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2²⁴⁰, 1317, F₂, 5, 40) (dual of [(1317, 5), 6345, 41]-NRT-code)	[i]
3	Linear OOA(2²⁴⁰, 1317, F₂, 6, 40) (dual of [(1317, 6), 7662, 41]-NRT-code)	[i]
4	Linear OOA(2²⁴⁰, 1317, F₂, 7, 40) (dual of [(1317, 7), 8979, 41]-NRT-code)	[i]
5	Linear OOA(2²⁴⁰, 1317, F₂, 8, 40) (dual of [(1317, 8), 10296, 41]-NRT-code)	[i]
6	Digital (200, 240, 1317)-net over F₂	[i]