MinT - Information on Result #1827494

Information on Result #1827494

OOA(32⁶⁴, 4194301, S₃₂, 2, 14), using OOA 2-folding based on OA(32⁶⁴, 8388602, S₃₂, 14), using

discarding factors based on OA(32⁶⁴, large, S₃₂, 14), using
- discarding parts of the base [i] based on linear OA(64⁵³, large, F₆₄, 14) (dual of [large, large−53, 15]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

None.

The following results depend on this result:

	Result		Method
1	OOA(32⁶⁶, 4194302, S₃₂, 2, 14)	[i]	NRT-Code Embedding in Larger Space
2	OOA(32⁶⁸, 4194303, S₃₂, 2, 14)	[i]
3	OOA(32⁷⁰, 4194304, S₃₂, 2, 14)	[i]
4	OOA(32⁶⁵, 4194301, S₃₂, 2, 14)	[i]	OOA Duplication
5	OOA(32⁷¹, 4194334, S₃₂, 2, 14)	[i]	(u,Â u+v)-Construction for OOAs
6	OOA(32⁷², 4194345, S₃₂, 2, 14)	[i]
7	OOA(32⁷³, 4194366, S₃₂, 2, 14)	[i]
8	OOA(32⁷⁴, 4194381, S₃₂, 2, 14)	[i]
9	OOA(32⁷⁵, 4194430, S₃₂, 2, 14)	[i]
10	OOA(32⁷⁶, 4194558, S₃₂, 2, 14)	[i]
11	OOA(32⁷⁷, 4194814, S₃₂, 2, 14)	[i]
12	OOA(32⁷⁸, 4194816, S₃₂, 2, 14)	[i]
13	OOA(32⁷⁹, 4194817, S₃₂, 2, 14)	[i]
14	OOA(32⁸⁰, 4196350, S₃₂, 2, 14)	[i]
15	OOA(32⁸¹, 4196352, S₃₂, 2, 14)	[i]
16	OOA(32⁸², 4196353, S₃₂, 2, 14)	[i]
17	OOA(32⁸³, 4210686, S₃₂, 2, 14)	[i]
18	OOA(32⁸⁴, 4210689, S₃₂, 2, 14)	[i]
19	OOA(32⁸⁵, 4227070, S₃₂, 2, 14)	[i]
20	OOA(32⁸⁷, 4325374, S₃₂, 2, 14)	[i]
21	OOA(32⁸⁸, 4325377, S₃₂, 2, 14)	[i]
22	OOA(32⁸⁹, 4718591, S₃₂, 2, 14)	[i]
23	OOA(32⁹⁰, 4718594, S₃₂, 2, 14)	[i]
24	OOA(32⁹¹, 5242878, S₃₂, 2, 14)	[i]
25	OOA(32⁹², 5242881, S₃₂, 2, 14)	[i]
26	OOA(32⁹³, 5242882, S₃₂, 2, 14)	[i]
27	OOA(32⁹⁴, 8388602, S₃₂, 2, 14)	[i]
28	OOA(32⁷⁴, 4194430, S₃₂, 2, 14)	[i]