MinT - Information on Result #1828830

Information on Result #1828830

OOA(128⁵³, 4194301, S₁₂₈, 2, 16), using OOA 2-folding based on OA(128⁵³, 8388602, S₁₂₈, 16), using

discarding factors based on OA(128⁵³, large, S₁₂₈, 16), using
- discarding parts of the base [i] based on linear OA(256⁴⁶, large, F₂₅₆, 16) (dual of [large, large−46, 17]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [i]

None.

The following results depend on this result:

	Result		Method
1	OOA(128⁵⁵, 4194302, S₁₂₈, 2, 16)	[i]	NRT-Code Embedding in Larger Space
2	OOA(128⁵⁷, 4194303, S₁₂₈, 2, 16)	[i]
3	OOA(128⁵⁹, 4194304, S₁₂₈, 2, 16)	[i]
4	OOA(128⁵⁴, 4194301, S₁₂₈, 2, 16)	[i]	OOA Duplication
5	OOA(128⁶¹, 4194430, S₁₂₈, 2, 16)	[i]	(u,Â u+v)-Construction for OOAs
6	OOA(128⁶², 4194451, S₁₂₈, 2, 16)	[i]
7	OOA(128⁶³, 4194558, S₁₂₈, 2, 16)	[i]
8	OOA(128⁶⁴, 4194559, S₁₂₈, 2, 16)	[i]
9	OOA(128⁶⁵, 4194560, S₁₂₈, 2, 16)	[i]
10	OOA(128⁶⁶, 4194580, S₁₂₈, 2, 16)	[i]
11	OOA(128⁶⁷, 4194688, S₁₂₈, 2, 16)	[i]
12	OOA(128⁶⁸, 4202494, S₁₂₈, 2, 16)	[i]
13	OOA(128⁶⁹, 4202495, S₁₂₈, 2, 16)	[i]
14	OOA(128⁷⁰, 4202497, S₁₂₈, 2, 16)	[i]
15	OOA(128⁷¹, 4227070, S₁₂₈, 2, 16)	[i]
16	OOA(128⁷², 4227071, S₁₂₈, 2, 16)	[i]
17	OOA(128⁷³, 4227073, S₁₂₈, 2, 16)	[i]
18	OOA(128⁷⁴, 4227074, S₁₂₈, 2, 16)	[i]
19	OOA(128⁷⁵, 5242878, S₁₂₈, 2, 16)	[i]
20	OOA(128⁷⁶, 5242880, S₁₂₈, 2, 16)	[i]
21	OOA(128⁷⁷, 5242882, S₁₂₈, 2, 16)	[i]
22	OOA(128⁷⁸, 5242884, S₁₂₈, 2, 16)	[i]