MinT - Information on Result #1827428

Information on Result #1827428

OOA(32⁵⁰, 4194301, S₃₂, 2, 11), using OOA 2-folding based on OA(32⁵⁰, 8388602, S₃₂, 11), using

discarding factors based on OA(32⁵⁰, large, S₃₂, 11), using
- discarding parts of the base [i] based on linear OA(64⁴¹, large, F₆₄, 11) (dual of [large, large−41, 12]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [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(32⁵², 4194302, S₃₂, 2, 11)	[i]		NRT-Code Embedding in Larger Space
2	OOA(32⁵⁴, 4194303, S₃₂, 2, 11)	[i]		NRT-Code Embedding in Larger Space
3	OOA(32⁵⁵, 4194334, S₃₂, 2, 11)	[i]		(u,Â u+v)-Construction for OOAs
4	OOA(32⁵⁶, 4194366, S₃₂, 2, 11)	[i]
5	OOA(32⁵⁷, 4194797, S₃₂, 2, 11)	[i]
6	OOA(32⁵⁸, 4194798, S₃₂, 2, 11)	[i]
7	OOA(32⁵⁹, 4196317, S₃₂, 2, 11)	[i]
8	OOA(32⁶⁰, 4202429, S₃₂, 2, 11)	[i]
9	OOA(32⁶¹, 4202430, S₃₂, 2, 11)	[i]
10	OOA(32⁶², 4226941, S₃₂, 2, 11)	[i]
11	OOA(32⁶³, 4226942, S₃₂, 2, 11)	[i]
12	OOA(32⁶⁴, 4227006, S₃₂, 2, 11)	[i]
13	OOA(32⁶⁵, 4227998, S₃₂, 2, 11)	[i]
14	OOA(32⁶⁶, 4325374, S₃₂, 2, 11)	[i]
15	OOA(32⁶⁷, 4718591, S₃₂, 2, 11)	[i]
16	OOA(32⁶⁸, 4718594, S₃₂, 2, 11)	[i]
17	OOA(32⁶⁹, 5242878, S₃₂, 2, 11)	[i]
18	OOA(32⁷⁰, 5242881, S₃₂, 2, 11)	[i]
19	OOA(32⁷¹, 8388602, S₃₂, 2, 11)	[i]