MinT - Information on Result #1317858

Information on Result #1317858

Linear OA(3¹²⁶, 151, F₃, 60) (dual of [151, 25, 61]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(3¹²², 145, F₃, 60) (dual of [145, 23, 61]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(3¹⁰⁹, 129, F₃, 60) (dual of [129, 20, 61]-code), using
    - 2 times truncation [i] based on linear OA(3¹¹¹, 131, F₃, 62) (dual of [131, 20, 63]-code), using
      - a â€œDaHâ€ code from Brouwerâ€™s database [i]
  2. linear OA(3¹⁰⁹, 132, F₃, 51) (dual of [132, 23, 52]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3¹⁰⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 7737 273681 008009 410780 407243 811616 830208 051036 216859 [i]
  3. linear OA(3¹⁰, 13, F₃, 8) (dual of [13, 3, 9]-code), using
    - Simplex code S(3,3) [i]
    - the expurgated narrow-sense BCH-code C(I) with length 13Â | 3³âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−1,0,…,6}|+1Â =Â 9 (BCH-bound) [i]
linear OA(3¹²², 147, F₃, 57) (dual of [147, 25, 58]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3¹²²Â > V_b^sâˆ’1(kâˆ’1)Â = 11515 296802 950785 393049 397113 153600 142137 168692 276871 453513 [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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