MinT - Information on Result #910758

Information on Result #910758

Linear OOA(2⁸⁰, 44, F₂, 2, 44) (dual of [(44, 2), 8, 45]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4¹⁸, 22, F₄, 14) (dual of [22, 4, 15]-code), using
- 1 times truncation [i] based on linear OA(4¹⁹, 23, F₄, 15) (dual of [23, 4, 16]-code), using
  - constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [17,1,16]-code [i] based on
    1. linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using projective code from ovoid in PG(3,Â 4) [i]
    2. linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
      - hyperoval in PG(2,Â 4) [i]
      - the Hexacode [i]
linear OOA(2², 2, F₂, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
- Reedâ€“Solomon NRT-code RS(2;2,2) [i]

Mode: Constructive and linear.

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