MinT - Information on Result #1021159

Information on Result #1021159

Linear OOA(3¹⁰⁸, 5592415, F₃, 3, 8) (dual of [(5592415, 3), 16777137, 9]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3³, 13, F₃, 3, 2) (dual of [(13, 3), 36, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(3³, 13, F₃, 2, 2) (dual of [(13, 2), 23, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(3³, 13, F₃, 2) (dual of [13, 10, 3]-code), using
    - Hamming code H(3,3) [i]
linear OOA(3²⁹, 2796201, F₃, 3, 4) (dual of [(2796201, 3), 8388574, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁹, 4782967, F₃, 3, 4) (dual of [(4782967, 3), 14348872, 5]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(3²⁹, 4782968, F₃, 2, 4) (dual of [(4782968, 2), 9565907, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (25, 29, 4782968)-net over F₃, using
      - nets constructed from net-embeddable BCH codes [i]
linear OOA(3⁷⁶, 2796201, F₃, 3, 8) (dual of [(2796201, 3), 8388527, 9]-NRT-code), using
- OOA 3-folding [i] 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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