MinT - Information on Result #1117032

Information on Result #1117032

Linear OOA(3⁸², 2097164, F₃, 5, 8) (dual of [(2097164, 5), 10485738, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁶, 14, F₃, 5, 4) (dual of [(14, 5), 64, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(3⁶, 14, F₃, 4, 4) (dual of [(14, 4), 50, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(3⁶, 14, F₃, 3, 4) (dual of [(14, 3), 36, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 6, 14)-net over F₃, using
      - linear code embedding found in a computer search [i]
linear OOA(3⁷⁶, 2097150, F₃, 5, 8) (dual of [(2097150, 5), 10485674, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(3⁷⁶, 8388600, F₃, 8) (dual of [8388600, 8388524, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁷⁶, large, F₃, 8) (dual of [large, large−76, 9]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’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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