MinT - Information on Result #1827519

Information on Result #1827519

OOA(32⁶⁹, 4194301, S₃₂, 2, 15), using OOA 2-folding based on OA(32⁶⁹, 8388602, S₃₂, 15), using

discarding factors based on OA(32⁶⁹, large, S₃₂, 15), using
- discarding parts of the base [i] based on linear OA(64⁵⁷, large, F₆₄, 15) (dual of [large, large−57, 16]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,7], and minimum distance dÂ â‰¥ |{−7,−6,…,7}|+1Â =Â 16 (BCH-bound) [i]

None.

The following results depend on this result:

	Result		Method
1	OOA(32⁷¹, 4194302, S₃₂, 2, 15)	[i]	NRT-Code Embedding in Larger Space
2	OOA(32⁷³, 4194303, S₃₂, 2, 15)	[i]
3	OOA(32⁷⁵, 4194304, S₃₂, 2, 15)	[i]
4	OOA(32⁷⁰, 4194301, S₃₂, 2, 15)	[i]	OOA Duplication
5	OOA(32⁷⁶, 4194334, S₃₂, 2, 15)	[i]	(u,Â u+v)-Construction for OOAs
6	OOA(32⁷⁷, 4194345, S₃₂, 2, 15)	[i]
7	OOA(32⁷⁸, 4194366, S₃₂, 2, 15)	[i]
8	OOA(32⁷⁹, 4194381, S₃₂, 2, 15)	[i]
9	OOA(32⁸⁰, 4194430, S₃₂, 2, 15)	[i]
10	OOA(32⁸¹, 4194558, S₃₂, 2, 15)	[i]
11	OOA(32⁸², 4194814, S₃₂, 2, 15)	[i]
12	OOA(32⁸³, 4194816, S₃₂, 2, 15)	[i]
13	OOA(32⁸⁴, 4194817, S₃₂, 2, 15)	[i]
14	OOA(32⁸⁵, 4196350, S₃₂, 2, 15)	[i]
15	OOA(32⁸⁶, 4196352, S₃₂, 2, 15)	[i]
16	OOA(32⁸⁷, 4196353, S₃₂, 2, 15)	[i]
17	OOA(32⁸⁸, 4210686, S₃₂, 2, 15)	[i]
18	OOA(32⁸⁹, 4210689, S₃₂, 2, 15)	[i]
19	OOA(32⁹⁰, 4227070, S₃₂, 2, 15)	[i]
20	OOA(32⁹², 4325374, S₃₂, 2, 15)	[i]
21	OOA(32⁹³, 4325377, S₃₂, 2, 15)	[i]
22	OOA(32⁹⁴, 4718591, S₃₂, 2, 15)	[i]
23	OOA(32⁹⁵, 4718594, S₃₂, 2, 15)	[i]
24	OOA(32⁹⁶, 5242878, S₃₂, 2, 15)	[i]
25	OOA(32⁹⁷, 5242881, S₃₂, 2, 15)	[i]
26	OOA(32⁹⁸, 5242882, S₃₂, 2, 15)	[i]
27	OOA(32⁹⁹, 8388602, S₃₂, 2, 15)	[i]
28	OOA(32⁷⁹, 4194430, S₃₂, 2, 15)	[i]