MinT - Information on Result #1828841

Information on Result #1828841

OOA(128⁵⁶, 4194301, S₁₂₈, 2, 17), using OOA 2-folding based on OA(128⁵⁶, 8388602, S₁₂₈, 17), using

discarding factors based on OA(128⁵⁶, large, S₁₂₈, 17), using
- discarding parts of the base [i] based on linear OA(256⁴⁹, large, F₂₅₆, 17) (dual of [large, large−49, 18]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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(128⁵⁸, 4194302, S₁₂₈, 2, 17)	[i]		NRT-Code Embedding in Larger Space
2	OOA(128⁶⁰, 4194303, S₁₂₈, 2, 17)	[i]
3	OOA(128⁶², 4194304, S₁₂₈, 2, 17)	[i]
4	OOA(128⁵⁷, 4194301, S₁₂₈, 2, 17)	[i]		OOA Duplication
5	OOA(128⁶⁴, 4194430, S₁₂₈, 2, 17)	[i]		(u,Â u+v)-Construction for OOAs
6	OOA(128⁶⁵, 4194451, S₁₂₈, 2, 17)	[i]
7	OOA(128⁶⁶, 4194558, S₁₂₈, 2, 17)	[i]
8	OOA(128⁶⁷, 4194559, S₁₂₈, 2, 17)	[i]
9	OOA(128⁶⁸, 4194560, S₁₂₈, 2, 17)	[i]
10	OOA(128⁶⁹, 4194580, S₁₂₈, 2, 17)	[i]
11	OOA(128⁷⁰, 4194688, S₁₂₈, 2, 17)	[i]
12	OOA(128⁷¹, 4202494, S₁₂₈, 2, 17)	[i]
13	OOA(128⁷², 4202495, S₁₂₈, 2, 17)	[i]
14	OOA(128⁷³, 4202497, S₁₂₈, 2, 17)	[i]
15	OOA(128⁷⁴, 4227070, S₁₂₈, 2, 17)	[i]
16	OOA(128⁷⁵, 4227071, S₁₂₈, 2, 17)	[i]
17	OOA(128⁷⁶, 4227073, S₁₂₈, 2, 17)	[i]
18	OOA(128⁷⁷, 4227074, S₁₂₈, 2, 17)	[i]
19	OOA(128⁷⁸, 5242878, S₁₂₈, 2, 17)	[i]