MinT - Information on Result #1827468

Information on Result #1827468

OOA(32⁵⁹, 4194301, S₃₂, 2, 13), using OOA 2-folding based on OA(32⁵⁹, 8388602, S₃₂, 13), using

discarding factors based on OA(32⁵⁹, large, S₃₂, 13), using
- discarding parts of the base [i] based on linear OA(64⁴⁹, large, F₆₄, 13) (dual of [large, large−49, 14]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

None.

The following results depend on this result:

	Result		Method
1	OOA(32⁶¹, 4194302, S₃₂, 2, 13)	[i]	NRT-Code Embedding in Larger Space
2	OOA(32⁶³, 4194303, S₃₂, 2, 13)	[i]	NRT-Code Embedding in Larger Space
3	OOA(32⁶⁰, 4194301, S₃₂, 2, 13)	[i]	OOA Duplication
4	OOA(32⁶⁵, 4194334, S₃₂, 2, 13)	[i]	(u,Â u+v)-Construction for OOAs
5	OOA(32⁶⁶, 4194345, S₃₂, 2, 13)	[i]
6	OOA(32⁶⁷, 4194366, S₃₂, 2, 13)	[i]
7	OOA(32⁶⁸, 4194381, S₃₂, 2, 13)	[i]
8	OOA(32⁶⁹, 4194430, S₃₂, 2, 13)	[i]
9	OOA(32⁷⁰, 4194814, S₃₂, 2, 13)	[i]
10	OOA(32⁷¹, 4194816, S₃₂, 2, 13)	[i]
11	OOA(32⁷², 4194817, S₃₂, 2, 13)	[i]
12	OOA(32⁷³, 4196350, S₃₂, 2, 13)	[i]
13	OOA(32⁷⁴, 4196351, S₃₂, 2, 13)	[i]
14	OOA(32⁷⁵, 4210686, S₃₂, 2, 13)	[i]
15	OOA(32⁷⁶, 4210689, S₃₂, 2, 13)	[i]
16	OOA(32⁷⁷, 4227070, S₃₂, 2, 13)	[i]
17	OOA(32⁷⁹, 4325374, S₃₂, 2, 13)	[i]
18	OOA(32⁸⁰, 4718591, S₃₂, 2, 13)	[i]
19	OOA(32⁸¹, 4718594, S₃₂, 2, 13)	[i]
20	OOA(32⁸², 5242878, S₃₂, 2, 13)	[i]
21	OOA(32⁸³, 5242881, S₃₂, 2, 13)	[i]
22	OOA(32⁸⁵, 8388602, S₃₂, 2, 13)	[i]