MinT - Information on Result #904804

Information on Result #904804

Linear OOA(128³⁸, 4210557, F₁₂₈, 2, 8) (dual of [(4210557, 2), 8421076, 9]-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(128²⁹, 4194301, F₁₂₈, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(128²⁹, 8388602, F₁₂₈, 8) (dual of [8388602, 8388573, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(128²⁹, large, F₁₂₈, 8) (dual of [large, large−29, 9]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 17895697Â | 128⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

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