MinT - Information on Result #1051597

Information on Result #1051597

Linear OOA(2¹¹², 16383, F₂, 4, 14) (dual of [(16383, 4), 65420, 15]-NRT-code), using OOA 4-folding based on linear OA(2¹¹², 65532, F₂, 14) (dual of [65532, 65420, 15]-code), using

discarding factors / shortening the dual code based on linear OA(2¹¹², 65535, F₂, 14) (dual of [65535, 65423, 15]-code), using
- 1 times truncation [i] based on linear OA(2¹¹³, 65536, F₂, 15) (dual of [65536, 65423, 16]-code), using
  - an extension C_e(14) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 2¹⁶âˆ’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(2¹¹², 16383, F₂, 5, 14) (dual of [(16383, 5), 81803, 15]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹¹², 16383, F₂, 6, 14) (dual of [(16383, 6), 98186, 15]-NRT-code)	[i]
3	Linear OOA(2¹¹², 16383, F₂, 7, 14) (dual of [(16383, 7), 114569, 15]-NRT-code)	[i]
4	Linear OOA(2¹¹², 16383, F₂, 8, 14) (dual of [(16383, 8), 130952, 15]-NRT-code)	[i]
5	Digital (98, 112, 16383)-net over F₂	[i]