MinT - Information on Result #1832391

Information on Result #1832391

OOA(128⁴³, 4243454, S₁₂₈, 2, 10), using (u,Â u+v)-construction based on

OOA(128¹¹, 49153, S₁₂₈, 2, 5), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128³, 16513, F₁₂₈, 2, 2) (dual of [(16513, 2), 33023, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(128³, 16513, F₁₂₈, 2) (dual of [16513, 16510, 3]-code), using
      - Hamming code H(3,128) [i]
  2. OOA(128⁸, 32640, S₁₂₈, 2, 5), using
    - OOA 2-folding [i] based on OA(128⁸, 65280, S₁₂₈, 5), using
      - discarding factors based on OA(128⁸, 65281, S₁₂₈, 5), using
        discarding parts of the base [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
OOA(128³², 4194301, S₁₂₈, 2, 10), using
- OOA 2-folding [i] 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]

None.

The following results depend on this result:

	Result		This result only	Method
1	OOA(128⁴³, 2121727, S₁₂₈, 4, 10)	[i]		OOA Folding