MinT - Information on Result #1827603

Information on Result #1827603

OOA(32⁸³, 4194301, S₃₂, 2, 18), using OOA 2-folding based on OA(32⁸³, 8388602, S₃₂, 18), using

discarding factors based on OA(32⁸³, large, S₃₂, 18), using
- discarding parts of the base [i] based on linear OA(64⁶⁹, large, F₆₄, 18) (dual of [large, large−69, 19]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]

None.

The following results depend on this result:

	Result		Method
1	OOA(32⁸⁵, 4194302, S₃₂, 2, 18)	[i]	NRT-Code Embedding in Larger Space
2	OOA(32⁸⁷, 4194303, S₃₂, 2, 18)	[i]
3	OOA(32⁸⁹, 4194304, S₃₂, 2, 18)	[i]
4	OOA(32⁹¹, 4194305, S₃₂, 2, 18)	[i]
5	OOA(32⁸⁴, 4194301, S₃₂, 2, 18)	[i]	OOA Duplication
6	OOA(32⁹², 4194334, S₃₂, 2, 18)	[i]	(u,Â u+v)-Construction for OOAs
7	OOA(32⁹³, 4194345, S₃₂, 2, 18)	[i]
8	OOA(32⁹⁴, 4194366, S₃₂, 2, 18)	[i]
9	OOA(32⁹⁵, 4194381, S₃₂, 2, 18)	[i]
10	OOA(32⁹⁶, 4194430, S₃₂, 2, 18)	[i]
11	OOA(32⁹⁷, 4194451, S₃₂, 2, 18)	[i]
12	OOA(32⁹⁸, 4194558, S₃₂, 2, 18)	[i]
13	OOA(32⁹⁹, 4194559, S₃₂, 2, 18)	[i]
14	OOA(32¹⁰⁰, 4194814, S₃₂, 2, 18)	[i]
15	OOA(32¹⁰¹, 4194816, S₃₂, 2, 18)	[i]
16	OOA(32¹⁰², 4194817, S₃₂, 2, 18)	[i]
17	OOA(32¹⁰³, 4194819, S₃₂, 2, 18)	[i]
18	OOA(32¹⁰⁴, 4196350, S₃₂, 2, 18)	[i]
19	OOA(32¹⁰⁵, 4196352, S₃₂, 2, 18)	[i]
20	OOA(32¹⁰⁶, 4196353, S₃₂, 2, 18)	[i]
21	OOA(32¹⁰⁷, 4202494, S₃₂, 2, 18)	[i]
22	OOA(32¹⁰⁸, 4210686, S₃₂, 2, 18)	[i]
23	OOA(32¹⁰⁹, 4210689, S₃₂, 2, 18)	[i]
24	OOA(32¹¹⁰, 4210690, S₃₂, 2, 18)	[i]