MinT - Information on Result #1027928

Information on Result #1027928

Linear OOA(2¹⁹⁹, 69, F₂, 3, 127) (dual of [(69, 3), 8, 128]-NRT-code), using concatenation of two NRT-codes 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(2⁷, 3, F₂, 3, 7) (dual of [(3, 3), 2, 8]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;2,2) [i]

Mode: Constructive and linear.

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