MinT - Information on Result #947783

Information on Result #947783

Linear OOA(2²¹⁶, 1365, F₂, 3, 36) (dual of [(1365, 3), 3879, 37]-NRT-code), using OOA 3-folding based on linear OA(2²¹⁶, 4095, F₂, 36) (dual of [4095, 3879, 37]-code), using

discarding factors / shortening the dual code based on linear OA(2²¹⁶, 4096, F₂, 36) (dual of [4096, 3880, 37]-code), using
- 1 times truncation [i] based on linear OA(2²¹⁷, 4097, F₂, 37) (dual of [4097, 3880, 38]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 4097Â | 2²⁴âˆ’1, defining interval IÂ =Â [0,18], and minimum distance dÂ â‰¥ |{−18,−17,…,18}|+1Â =Â 38 (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(2²¹⁶, 1244, F₂, 4, 36) (dual of [(1244, 4), 4760, 37]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2²¹⁶, 1244, F₂, 5, 36) (dual of [(1244, 5), 6004, 37]-NRT-code)	[i]
3	Linear OOA(2²¹⁶, 1244, F₂, 6, 36) (dual of [(1244, 6), 7248, 37]-NRT-code)	[i]
4	Linear OOA(2²¹⁶, 1244, F₂, 7, 36) (dual of [(1244, 7), 8492, 37]-NRT-code)	[i]
5	Linear OOA(2²¹⁶, 1244, F₂, 8, 36) (dual of [(1244, 8), 9736, 37]-NRT-code)	[i]
6	Digital (180, 216, 1244)-net over F₂	[i]