MinT - Information on Result #1117076

Information on Result #1117076

Linear OOA(3¹¹⁷, 3691472, F₃, 5, 9) (dual of [(3691472, 5), 18457243, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²⁷, 1594322, F₃, 5, 4) (dual of [(1594322, 5), 7971583, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(3²⁷, 1594322, F₃, 4, 4) (dual of [(1594322, 4), 6377261, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(3²⁷, 1594322, F₃, 3, 4) (dual of [(1594322, 3), 4782939, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (23, 27, 1594322)-net over F₃, using
      - nets constructed from net-embeddable BCH codes [i]
linear OOA(3⁹⁰, 2097150, F₃, 5, 9) (dual of [(2097150, 5), 10485660, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(3⁹⁰, 8388601, F₃, 9) (dual of [8388601, 8388511, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁹⁰, large, F₃, 9) (dual of [large, large−90, 10]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and linear.

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