MinT - Information on Result #1015975

Information on Result #1015975

Linear OOA(9⁸¹, 5598973, F₉, 3, 9) (dual of [(5598973, 3), 16796838, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(9¹⁵, 6571, F₉, 3, 4) (dual of [(6571, 3), 19698, 5]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(9³, 91, F₉, 3, 2) (dual of [(91, 3), 270, 3]-NRT-code), using
    - appending 1 arbitrary column [i] based on linear OOA(9³, 91, F₉, 2, 2) (dual of [(91, 2), 179, 3]-NRT-code), using
      - appending kth column [i] based on linear OA(9³, 91, F₉, 2) (dual of [91, 88, 3]-code), using
        Hamming code H(3,9) [i]
  2. linear OOA(9¹², 6480, F₉, 3, 4) (dual of [(6480, 3), 19428, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(9¹², 12960, F₉, 4) (dual of [12960, 12948, 5]-code), using
      - trace code [i] based on linear OA(81⁶, 6480, F₈₁, 4) (dual of [6480, 6474, 5]-code), using
        1 times truncation [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
linear OOA(9⁶⁶, 5592402, F₉, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
- trace code [i] based on linear OOA(81³³, 2796201, F₈₁, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(81³³, large, F₈₁, 9) (dual of [large, large−33, 10]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’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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