MinT - Information on Result #1070096

Information on Result #1070096

Linear OOA(128³⁹, 2101214, F₁₂₈, 4, 9) (dual of [(2101214, 4), 8404817, 10]-NRT-code), using OOA 2-folding based on linear OOA(128³⁹, 4202428, F₁₂₈, 2, 9) (dual of [(4202428, 2), 8404817, 10]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(128³⁹, 4202429, F₁₂₈, 2, 9) (dual of [(4202429, 2), 8404819, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128⁶, 8128, F₁₂₈, 2, 4) (dual of [(8128, 2), 16250, 5]-NRT-code), using
    - OOA 2-folding [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(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.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.