MinT - Information on Result #945149

Information on Result #945149

Linear OOA(2⁶⁵, 2730, F₂, 3, 10) (dual of [(2730, 3), 8125, 11]-NRT-code), using OOA 3-folding based on linear OA(2⁶⁵, 8190, F₂, 10) (dual of [8190, 8125, 11]-code), using

discarding factors / shortening the dual code based on linear OA(2⁶⁵, 8191, F₂, 10) (dual of [8191, 8126, 11]-code), using
- 1 times truncation [i] based on linear OA(2⁶⁶, 8192, F₂, 11) (dual of [8192, 8126, 12]-code), using
  - an extension C_e(10) of the primitive narrow-sense BCH-code C(I) with length 8191Â = 2¹³âˆ’1, defining interval IÂ =Â [1,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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(2⁶⁵, 2730, F₂, 4, 10) (dual of [(2730, 4), 10855, 11]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2⁶⁵, 2730, F₂, 5, 10) (dual of [(2730, 5), 13585, 11]-NRT-code)	[i]
3	Linear OOA(2⁶⁵, 2730, F₂, 6, 10) (dual of [(2730, 6), 16315, 11]-NRT-code)	[i]
4	Linear OOA(2⁶⁵, 2730, F₂, 7, 10) (dual of [(2730, 7), 19045, 11]-NRT-code)	[i]
5	Linear OOA(2⁶⁵, 2730, F₂, 8, 10) (dual of [(2730, 8), 21775, 11]-NRT-code)	[i]
6	Digital (55, 65, 2730)-net over F₂	[i]