MinT - Information on Result #1298870

Information on Result #1298870

Linear OA(3¹⁷⁴, 199, F₃, 86) (dual of [199, 25, 87]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(3¹⁷¹, 195, F₃, 86) (dual of [195, 24, 87]-code), using
- 3 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(3¹⁷¹, 196, F₃, 83) (dual of [196, 25, 84]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3¹⁷¹Â > V_b^sâˆ’1(kâˆ’1)Â = 1833 908307 763056 212341 335055 429230 287098 762658 631939 402294 033301 432067 941052 108059 [i]
linear OA(3², 3, F₃, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,3)), using
- dual of repetition code with length 3 [i]
- Reedâ€“Solomon code RS(1,3) [i]

Mode: Linear.

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