MinT - Information on Result #1298862

Information on Result #1298862

Linear OA(3¹⁷⁴, 200, F₃, 85) (dual of [200, 26, 86]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(3¹⁷⁰, 194, F₃, 85) (dual of [194, 24, 86]-code), using
- 4 times truncation [i] based on linear OA(3¹⁷⁴, 198, F₃, 89) (dual of [198, 24, 90]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(27¹⁴, 22, F₂₇, 14) (dual of [22, 8, 15]-code or 22-arc in PG(13,27)), using
      - discarding factors / shortening the dual code based on linear OA(27¹⁴, 27, F₂₇, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
        Reedâ€“Solomon code RS(13,27) [i]
    2. linear OA(3⁶, 9, F₃, 5) (dual of [9, 3, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
        projective code from ovoid in PG(3,Â 3) [i]
linear OA(3¹⁷⁰, 196, F₃, 82) (dual of [196, 26, 83]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3¹⁷⁰Â > V_b^sâˆ’1(kâˆ’1)Â = 652 189790 003877 835158 367817 231834 431118 764566 622988 164252 019767 837703 805133 311259 [i]
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: Linear.

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