MinT - Information on Result #808030

Information on Result #808030

Linear OOA(2¹⁸⁷, 1023, F₂, 2, 34) (dual of [(1023, 2), 1859, 35]-NRT-code), using OOA 2-folding based on linear OA(2¹⁸⁷, 2046, F₂, 34) (dual of [2046, 1859, 35]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁸⁷, 2047, F₂, 34) (dual of [2047, 1860, 35]-code), using
- 1 times truncation [i] based on linear OA(2¹⁸⁸, 2048, F₂, 35) (dual of [2048, 1860, 36]-code), using
  - an extension C_e(34) of the primitive narrow-sense BCH-code C(I) with length 2047Â = 2¹¹âˆ’1, defining interval IÂ =Â [1,34], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 35 [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(2¹⁸⁷, 733, F₂, 3, 34) (dual of [(733, 3), 2012, 35]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹⁸⁷, 733, F₂, 4, 34) (dual of [(733, 4), 2745, 35]-NRT-code)	[i]
3	Linear OOA(2¹⁸⁷, 733, F₂, 5, 34) (dual of [(733, 5), 3478, 35]-NRT-code)	[i]
4	Linear OOA(2¹⁸⁷, 733, F₂, 6, 34) (dual of [(733, 6), 4211, 35]-NRT-code)	[i]
5	Linear OOA(2¹⁸⁷, 733, F₂, 7, 34) (dual of [(733, 7), 4944, 35]-NRT-code)	[i]
6	Linear OOA(2¹⁸⁷, 733, F₂, 8, 34) (dual of [(733, 8), 5677, 35]-NRT-code)	[i]
7	Digital (153, 187, 733)-net over F₂	[i]