MinT - Information on Result #1097436

Information on Result #1097436

Linear OOA(2²⁵², 3276, F₂, 5, 36) (dual of [(3276, 5), 16128, 37]-NRT-code), using OOA 5-folding based on linear OA(2²⁵², 16380, F₂, 36) (dual of [16380, 16128, 37]-code), using

discarding factors / shortening the dual code based on linear OA(2²⁵², 16384, F₂, 36) (dual of [16384, 16132, 37]-code), using
- 1 times truncation [i] based on linear OA(2²⁵³, 16385, F₂, 37) (dual of [16385, 16132, 38]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16385Â | 2²⁸âˆ’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(2²⁵², 3276, F₂, 6, 36) (dual of [(3276, 6), 19404, 37]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2²⁵², 3276, F₂, 7, 36) (dual of [(3276, 7), 22680, 37]-NRT-code)	[i]
3	Linear OOA(2²⁵², 3276, F₂, 8, 36) (dual of [(3276, 8), 25956, 37]-NRT-code)	[i]
4	Digital (216, 252, 3276)-net over F₂	[i]