MinT - Information on Result #1298898

Information on Result #1298898

Linear OA(3¹⁷⁸, 203, F₃, 89) (dual of [203, 25, 90]-code), using constructionÂ X with VarÅ¡amov bound 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(3¹⁷⁴, 199, F₃, 85) (dual of [199, 25, 86]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3¹⁷⁴Â > V_b^sâˆ’1(kâˆ’1)Â = 71166 126229 350998 683853 382001 233875 964440 693372 399052 809519 886047 330449 621505 515993 [i]
linear OA(3³, 4, F₃, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2,Â 3) [i]

Mode: Linear.

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