MinT - Information on Result #662377

Information on Result #662377

Linear OA(4²⁵⁰, 4194326, F₄, 29) (dual of [4194326, 4194076, 30]-code), using (u,Â u+v)-construction 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 OA(4²³², 4194304, F₄, 29) (dual of [4194304, 4194072, 30]-code), using
- an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 4194303Â = 4¹¹âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [i]

Mode: Constructive and linear.

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