MinT - Information on Result #1298706

Information on Result #1298706

Linear OA(3¹⁵², 174, F₃, 76) (dual of [174, 22, 77]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(3¹⁴⁹, 170, F₃, 76) (dual of [170, 21, 77]-code), using
- 1 times truncation [i] based on linear OA(3¹⁵⁰, 171, F₃, 77) (dual of [171, 21, 78]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(27¹², 19, F₂₇, 12) (dual of [19, 7, 13]-code or 19-arc in PG(11,27)), using
      - discarding factors / shortening the dual code based on linear OA(27¹², 27, F₂₇, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
        Reedâ€“Solomon code RS(15,27) [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(3¹⁴⁹, 171, F₃, 73) (dual of [171, 22, 74]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3¹⁴⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 92614 755315 985418 410362 051575 696166 058185 413272 398883 727723 293679 203113 [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.

None.

None.