MinT - Information on Result #1828821

Information on Result #1828821

OOA(128⁵⁰, 4194301, S₁₂₈, 2, 15), using OOA 2-folding based on OA(128⁵⁰, 8388602, S₁₂₈, 15), using

discarding factors based on OA(128⁵⁰, large, S₁₂₈, 15), using
- discarding parts of the base [i] based on linear OA(256⁴³, large, F₂₅₆, 15) (dual of [large, large−43, 16]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	OOA(128⁵², 4194302, S₁₂₈, 2, 15)	[i]		NRT-Code Embedding in Larger Space
2	OOA(128⁵⁴, 4194303, S₁₂₈, 2, 15)	[i]
3	OOA(128⁵⁶, 4194304, S₁₂₈, 2, 15)	[i]
4	OOA(128⁵¹, 4194301, S₁₂₈, 2, 15)	[i]		OOA Duplication
5	OOA(128⁵⁷, 4194430, S₁₂₈, 2, 15)	[i]		(u,Â u+v)-Construction for OOAs
6	OOA(128⁵⁸, 4194558, S₁₂₈, 2, 15)	[i]
7	OOA(128⁶¹, 4194687, S₁₂₈, 2, 15)	[i]
8	OOA(128⁶², 4194815, S₁₂₈, 2, 15)	[i]
9	OOA(128⁶³, 4202494, S₁₂₈, 2, 15)	[i]
10	OOA(128⁶⁴, 4202496, S₁₂₈, 2, 15)	[i]
11	OOA(128⁶⁵, 4227070, S₁₂₈, 2, 15)	[i]
12	OOA(128⁶⁶, 4227072, S₁₂₈, 2, 15)	[i]
13	OOA(128⁶⁸, 4227199, S₁₂₈, 2, 15)	[i]
14	OOA(128⁶⁹, 5242878, S₁₂₈, 2, 15)	[i]
15	OOA(128⁷⁰, 5242881, S₁₂₈, 2, 15)	[i]
16	OOA(128⁷¹, 5242882, S₁₂₈, 2, 15)	[i]
17	OOA(128⁷², 8388602, S₁₂₈, 2, 15)	[i]