MinT - Information on Result #1051229

Information on Result #1051229

Linear OOA(2¹⁰⁵, 524287, F₂, 4, 10) (dual of [(524287, 4), 2097043, 11]-NRT-code), using OOA 4-folding based on linear OA(2¹⁰⁵, 2097148, F₂, 10) (dual of [2097148, 2097043, 11]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁰⁵, 2097151, F₂, 10) (dual of [2097151, 2097046, 11]-code), using
- 1 times truncation [i] based on linear OA(2¹⁰⁶, 2097152, F₂, 11) (dual of [2097152, 2097046, 12]-code), using
  - an extension C_e(10) of the primitive narrow-sense BCH-code C(I) with length 2097151Â = 2²¹âˆ’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(2¹⁰⁵, 524287, F₂, 5, 10) (dual of [(524287, 5), 2621330, 11]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹⁰⁵, 524287, F₂, 6, 10) (dual of [(524287, 6), 3145617, 11]-NRT-code)	[i]
3	Linear OOA(2¹⁰⁵, 524287, F₂, 7, 10) (dual of [(524287, 7), 3669904, 11]-NRT-code)	[i]
4	Linear OOA(2¹⁰⁵, 524287, F₂, 8, 10) (dual of [(524287, 8), 4194191, 11]-NRT-code)	[i]
5	Digital (95, 105, 524287)-net over F₂	[i]