MinT - Information on Result #2657450

Information on Result #2657450

Linear OOA(2¹³⁹, 8388602, F₂, 3, 10) (dual of [(8388602, 3), 25165667, 11]-NRT-code), using 1 step truncation based on linear OOA(2¹⁴⁰, large, F₂, 3, 11), using

OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹³⁹, 8388602, F₂, 4, 10) (dual of [(8388602, 4), 33554269, 11]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹³⁹, 8388602, F₂, 5, 10) (dual of [(8388602, 5), 41942871, 11]-NRT-code)	[i]
3	Linear OOA(2¹³⁹, 8388602, F₂, 6, 10) (dual of [(8388602, 6), 50331473, 11]-NRT-code)	[i]
4	Linear OOA(2¹³⁹, 8388602, F₂, 7, 10) (dual of [(8388602, 7), 58720075, 11]-NRT-code)	[i]
5	Linear OOA(2¹³⁹, 8388602, F₂, 8, 10) (dual of [(8388602, 8), 67108677, 11]-NRT-code)	[i]
6	Digital (129, 139, 8388602)-net over F₂	[i]
7	Linear OOA(2¹³⁹, 4194301, F₂, 5, 10) (dual of [(4194301, 5), 20971366, 11]-NRT-code)	[i]		OOA Folding
8	Linear OOA(2¹³⁹, 4194301, F₂, 6, 10) (dual of [(4194301, 6), 25165667, 11]-NRT-code)	[i]		OOA Folding
9	Linear OOA(2¹³⁹, 4194300, F₂, 6, 10) (dual of [(4194300, 6), 25165661, 11]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row
10	Linear OOA(2¹³⁹, 4194300, F₂, 7, 10) (dual of [(4194300, 7), 29359961, 11]-NRT-code)	[i]
11	Linear OOA(2¹³⁹, 4194300, F₂, 8, 10) (dual of [(4194300, 8), 33554261, 11]-NRT-code)	[i]
12	Linear OOA(2¹³⁹, 4194300, F₂, 15, 10) (dual of [(4194300, 15), 62914361, 11]-NRT-code)	[i]