MinT - Information on Result #909113

Information on Result #909113

Linear OOA(3¹⁹², 99, F₃, 2, 127) (dual of [(99, 2), 6, 128]-NRT-code), using juxtaposition based on

linear OOA(3⁸, 7, F₃, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁷⁸, 92, F₃, 2, 119) (dual of [(92, 2), 6, 120]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁷⁸, 184, F₃, 119) (dual of [184, 6, 120]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(9⁴³, 46, F₉, 39) (dual of [46, 3, 40]-code), using
      - a projective code based on a Barlotti arc [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]

Mode: Constructive and linear.

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