MinT - Information on Result #909102

Information on Result #909102

Linear OOA(3¹⁷¹, 89, F₃, 2, 111) (dual of [(89, 2), 7, 112]-NRT-code), using juxtaposition based on

linear OOA(3⁶³, 35, F₃, 2, 42) (dual of [(35, 2), 7, 43]-NRT-code), using
- 1 step truncation [i] based on linear OOA(3⁶⁴, 36, F₃, 2, 43) (dual of [(36, 2), 8, 44]-NRT-code), using
  - strength reduction [i] based on linear OOA(3⁶⁴, 36, F₃, 2, 44) (dual of [(36, 2), 8, 45]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OOA(9¹⁴, 9, F₉, 2, 14) (dual of [(9, 2), 4, 15]-NRT-code), using
        Reedâ€“Solomon NRT-code RS(2;4,9) [i]
      2. linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
        extended Reedâ€“Solomon code RS_e(2,3) [i]
        Hamming code H(2,3) [i]
        Simplex code S(2,3) [i]
        the Tetracode [i]
linear OOA(3¹⁰¹, 54, F₃, 2, 68) (dual of [(54, 2), 7, 69]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁰¹, 108, F₃, 68) (dual of [108, 7, 69]-code), using
  - codes obtained from BCH codes, concatenation and constructionÂ X [i]

Mode: Constructive and linear.

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