MinT - Information on Result #1051601

Information on Result #1051601

Linear OOA(2¹¹⁹, 32767, F₂, 4, 14) (dual of [(32767, 4), 130949, 15]-NRT-code), using OOA 4-folding based on linear OA(2¹¹⁹, 131068, F₂, 14) (dual of [131068, 130949, 15]-code), using

discarding factors / shortening the dual code based on linear OA(2¹¹⁹, 131071, F₂, 14) (dual of [131071, 130952, 15]-code), using
- 1 times truncation [i] based on linear OA(2¹²⁰, 131072, F₂, 15) (dual of [131072, 130952, 16]-code), using
  - an extension C_e(14) of the primitive narrow-sense BCH-code C(I) with length 131071Â = 2¹⁷âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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(2¹¹⁹, 29111, F₂, 5, 14) (dual of [(29111, 5), 145436, 15]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹¹⁹, 29111, F₂, 6, 14) (dual of [(29111, 6), 174547, 15]-NRT-code)	[i]
3	Linear OOA(2¹¹⁹, 29111, F₂, 7, 14) (dual of [(29111, 7), 203658, 15]-NRT-code)	[i]
4	Linear OOA(2¹¹⁹, 29111, F₂, 8, 14) (dual of [(29111, 8), 232769, 15]-NRT-code)	[i]
5	Digital (105, 119, 29111)-net over F₂	[i]