MinT - Information on Result #1828794

Information on Result #1828794

OOA(128³⁹, 4194301, S₁₂₈, 2, 12), using OOA 2-folding based on OA(128³⁹, 8388602, S₁₂₈, 12), using

discarding factors based on OA(128³⁹, large, S₁₂₈, 12), using
- discarding parts of the base [i] based on linear OA(256³⁴, large, F₂₅₆, 12) (dual of [large, large−34, 13]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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(128⁴¹, 4194302, S₁₂₈, 2, 12)	[i]		NRT-Code Embedding in Larger Space
2	OOA(128⁴³, 4194303, S₁₂₈, 2, 12)	[i]		NRT-Code Embedding in Larger Space
3	OOA(128⁴⁰, 4194301, S₁₂₈, 2, 12)	[i]		OOA Duplication
4	OOA(128⁴⁵, 4194430, S₁₂₈, 2, 12)	[i]		(u,Â u+v)-Construction for OOAs
5	OOA(128⁴⁶, 4194558, S₁₂₈, 2, 12)	[i]
6	OOA(128⁴⁷, 4194559, S₁₂₈, 2, 12)	[i]
7	OOA(128⁴⁹, 4194687, S₁₂₈, 2, 12)	[i]
8	OOA(128⁵⁰, 4202494, S₁₂₈, 2, 12)	[i]
9	OOA(128⁵¹, 4202495, S₁₂₈, 2, 12)	[i]
10	OOA(128⁵², 4227070, S₁₂₈, 2, 12)	[i]
11	OOA(128⁵³, 4227071, S₁₂₈, 2, 12)	[i]
12	OOA(128⁵⁴, 4227073, S₁₂₈, 2, 12)	[i]
13	OOA(128⁵⁵, 5242878, S₁₂₈, 2, 12)	[i]
14	OOA(128⁵⁶, 5242881, S₁₂₈, 2, 12)	[i]
15	OOA(128⁵⁷, 5242882, S₁₂₈, 2, 12)	[i]
16	OOA(128⁵⁸, 8388602, S₁₂₈, 2, 12)	[i]