MinT - Information on Result #909052

Information on Result #909052

Linear OOA(3¹⁷¹, 91, F₃, 2, 102) (dual of [(91, 2), 11, 103]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁵, 28, F₃, 2, 30) (dual of [(28, 2), 11, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,25P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹¹⁵, 63, F₃, 2, 71) (dual of [(63, 2), 11, 72]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹¹⁵, 126, F₃, 71) (dual of [126, 11, 72]-code), using
  - constructionÂ X applied to C₁ âŠ‚ D₁ [i] based on
    1. linear OA(3¹¹¹, 121, F₃, 71) (dual of [121, 10, 72]-code), using code C₁ for uÂ =Â 5 by de Boer and Brouwer [i]
    2. linear OA(3¹¹⁰, 121, F₃, 66) (dual of [121, 11, 67]-code), using augmented code D₁ for uÂ =Â 5 by de Boer and Brouwer [i]
    3. linear OA(3⁴, 5, F₃, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), using
      - dual of repetition code with length 5 [i]

Mode: Constructive and linear.

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