MinT - Information on Result #1828779

Information on Result #1828779

OOA(128³², 4194301, S₁₂₈, 2, 10), using OOA 2-folding based on OA(128³², 8388602, S₁₂₈, 10), using

discarding factors based on OA(128³², large, S₁₂₈, 10), using
- discarding parts of the base [i] based on linear OA(256²⁸, large, F₂₅₆, 10) (dual of [large, large−28, 11]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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(128³⁴, 4194302, S₁₂₈, 2, 10)	[i]		NRT-Code Embedding in Larger Space
2	OOA(128³⁶, 4194303, S₁₂₈, 2, 10)	[i]		NRT-Code Embedding in Larger Space
3	OOA(128³³, 4194301, S₁₂₈, 2, 10)	[i]		OOA Duplication
4	OOA(128³⁷, 4194430, S₁₂₈, 2, 10)	[i]		(u,Â u+v)-Construction for OOAs
5	OOA(128³⁸, 4194558, S₁₂₈, 2, 10)	[i]
6	OOA(128³⁹, 4202429, S₁₂₈, 2, 10)	[i]
7	OOA(128⁴⁰, 4226941, S₁₂₈, 2, 10)	[i]
8	OOA(128⁴¹, 4226942, S₁₂₈, 2, 10)	[i]
9	OOA(128⁴², 4227070, S₁₂₈, 2, 10)	[i]
10	OOA(128⁴³, 4243454, S₁₂₈, 2, 10)	[i]
11	OOA(128⁴⁴, 4259582, S₁₂₈, 2, 10)	[i]
12	OOA(128⁴⁵, 5242878, S₁₂₈, 2, 10)	[i]
13	OOA(128⁴⁶, 5242881, S₁₂₈, 2, 10)	[i]
14	OOA(128⁴⁷, 8388602, S₁₂₈, 2, 10)	[i]