MinT - Information on Result #1019098

Information on Result #1019098

Linear OOA(128⁴⁸, 5608658, F₁₂₈, 3, 8) (dual of [(5608658, 3), 16825926, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(128¹³, 4194301, F₁₂₈, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(128¹³, 8388602, F₁₂₈, 4) (dual of [8388602, 8388589, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(128¹³, large, F₁₂₈, 4) (dual of [large, large−13, 5]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 17895697Â | 128⁴âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
linear OOA(128³⁵, 2804329, F₁₂₈, 3, 8) (dual of [(2804329, 3), 8412952, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128⁶, 8128, F₁₂₈, 3, 4) (dual of [(8128, 3), 24378, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(128⁶, 16256, F₁₂₈, 4) (dual of [16256, 16250, 5]-code), using
      - 1 times truncation [i] based on linear OA(128⁷, 16257, F₁₂₈, 5) (dual of [16257, 16250, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(128²⁹, 2796201, F₁₂₈, 3, 8) (dual of [(2796201, 3), 8388574, 9]-NRT-code), using
    - OOA 3-folding [i] 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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