MinT - Information on Result #1832411

Information on Result #1832411

OOA(128⁵¹, 8388602, S₁₂₈, 2, 11), using (u,Â u+v)-construction based on

OOA(128¹⁵, 4194301, S₁₂₈, 2, 5), using
- OOA 2-folding [i] based on OA(128¹⁵, 8388602, S₁₂₈, 5), using
  - discarding factors based on OA(128¹⁵, large, S₁₂₈, 5), using
    - discarding parts of the base [i] based on linear OA(256¹³, large, F₂₅₆, 5) (dual of [large, large−13, 6]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [i]
OOA(128³⁶, 4194301, S₁₂₈, 2, 11), using
- OOA 2-folding [i] based on OA(128³⁶, 8388602, S₁₂₈, 11), using
  - discarding factors based on OA(128³⁶, large, S₁₂₈, 11), using
    - discarding parts of the base [i] based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

None.

The following results depend on this result:

	Result		Method
1	OOA(128⁵³, large, S₁₂₈, 2, 11)	[i]	NRT-Code Embedding in Larger Space
2	OOA(128⁵⁵, large, S₁₂₈, 2, 11)	[i]
3	OOA(128⁵⁷, large, S₁₂₈, 2, 11)	[i]
4	OOA(128⁵⁹, large, S₁₂₈, 2, 11)	[i]
5	OOA(128⁵², 8388602, S₁₂₈, 2, 11)	[i]	OOA Duplication
6	OOA(128⁵¹, 4194301, S₁₂₈, 3, 11)	[i]	OOA Folding
7	OOA(128⁵¹, 4194301, S₁₂₈, 4, 11)	[i]	OOA Folding