MinT - Information on Result #1827409

Information on Result #1827409

OOA(32⁴⁵, 4194301, S₃₂, 2, 10), using OOA 2-folding based on OA(32⁴⁵, 8388602, S₃₂, 10), using

discarding factors based on OA(32⁴⁵, large, S₃₂, 10), using
- discarding parts of the base [i] based on linear OA(64³⁷, large, F₆₄, 10) (dual of [large, large−37, 11]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive.

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	OOA(32⁴⁷, 4194302, S₃₂, 2, 10)	[i]		NRT-Code Embedding in Larger Space
2	OOA(32⁴⁹, 4194303, S₃₂, 2, 10)	[i]		NRT-Code Embedding in Larger Space
3	OOA(32⁵⁰, 4194334, S₃₂, 2, 10)	[i]		(u,Â u+v)-Construction for OOAs
4	OOA(32⁵¹, 4194366, S₃₂, 2, 10)	[i]
5	OOA(32⁵², 4194797, S₃₂, 2, 10)	[i]
6	OOA(32⁵³, 4194798, S₃₂, 2, 10)	[i]
7	OOA(32⁵⁴, 4196317, S₃₂, 2, 10)	[i]
8	OOA(32⁵⁵, 4202429, S₃₂, 2, 10)	[i]
9	OOA(32⁵⁶, 4202430, S₃₂, 2, 10)	[i]
10	OOA(32⁵⁷, 4226941, S₃₂, 2, 10)	[i]
11	OOA(32⁵⁸, 4226942, S₃₂, 2, 10)	[i]
12	OOA(32⁵⁹, 4227006, S₃₂, 2, 10)	[i]
13	OOA(32⁶⁰, 4227998, S₃₂, 2, 10)	[i]
14	OOA(32⁶¹, 4325374, S₃₂, 2, 10)	[i]
15	OOA(32⁶², 4718591, S₃₂, 2, 10)	[i]
16	OOA(32⁶³, 4718594, S₃₂, 2, 10)	[i]
17	OOA(32⁶⁴, 5242878, S₃₂, 2, 10)	[i]
18	OOA(32⁶⁵, 5242881, S₃₂, 2, 10)	[i]
19	OOA(32⁶⁶, 8388602, S₃₂, 2, 10)	[i]