MinT - Information on Result #904822

Information on Result #904822

Linear OOA(128⁴², 4210557, F₁₂₈, 2, 9) (dual of [(4210557, 2), 8421072, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(128⁹, 16256, F₁₂₈, 2, 4) (dual of [(16256, 2), 32503, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(128⁹, 32512, F₁₂₈, 4) (dual of [32512, 32503, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(128⁹, 32513, F₁₂₈, 4) (dual of [32513, 32504, 5]-code), using
    - 1 times truncation [i] based on linear OA(128¹⁰, 32514, F₁₂₈, 5) (dual of [32514, 32504, 6]-code), using
      - (u,Â u+v)-construction [i] based on
        linear OA(128³, 16257, F₁₂₈, 2) (dual of [16257, 16254, 3]-code), using
        discarding factors / shortening the dual code based on linear OA(128³, 16513, F₁₂₈, 2) (dual of [16513, 16510, 3]-code), using
        Hamming code H(3,128) [i]
        linear OA(128⁷, 16257, F₁₂₈, 5) (dual of [16257, 16250, 6]-code), using
        a code by Danev and Olsson [i]
linear OOA(128³³, 4194301, F₁₂₈, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(128³³, 8388602, F₁₂₈, 9) (dual of [8388602, 8388569, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(128³³, large, F₁₂₈, 9) (dual of [large, large−33, 10]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 15790321Â | 128⁸âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]

Mode: Constructive and linear.

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