MinT - Information on Result #945278

Information on Result #945278

Linear OOA(2⁷², 1365, F₂, 3, 12) (dual of [(1365, 3), 4023, 13]-NRT-code), using OOA 3-folding based on linear OA(2⁷², 4095, F₂, 12) (dual of [4095, 4023, 13]-code), using

discarding factors / shortening the dual code based on linear OA(2⁷², 4096, F₂, 12) (dual of [4096, 4024, 13]-code), using
- 1 times truncation [i] based on linear OA(2⁷³, 4097, F₂, 13) (dual of [4097, 4024, 14]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 4097Â | 2²⁴âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (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(2⁷², 1365, F₂, 4, 12) (dual of [(1365, 4), 5388, 13]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2⁷², 1365, F₂, 5, 12) (dual of [(1365, 5), 6753, 13]-NRT-code)	[i]
3	Linear OOA(2⁷², 1365, F₂, 6, 12) (dual of [(1365, 6), 8118, 13]-NRT-code)	[i]
4	Linear OOA(2⁷², 1365, F₂, 7, 12) (dual of [(1365, 7), 9483, 13]-NRT-code)	[i]
5	Linear OOA(2⁷², 1365, F₂, 8, 12) (dual of [(1365, 8), 10848, 13]-NRT-code)	[i]
6	Digital (60, 72, 1365)-net over F₂	[i]