MinT - Information on Result #830971

Information on Result #830971

Linear OOA(4¹⁰⁴, 54, F₄, 2, 79) (dual of [(54, 2), 4, 80]-NRT-code), using OOA 2-folding based on linear OA(4¹⁰⁴, 108, F₄, 79) (dual of [108, 4, 80]-code), using

juxtaposition [i] based on
1. 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]
2. linear OA(4⁸¹, 85, F₄, 63) (dual of [85, 4, 64]-code), using
  - Simplex code S(4,4) [i]
  - the expurgated narrow-sense BCH-code C(I) with length 85Â | 4⁴âˆ’1, defining interval IÂ =Â [0,56], and minimum distance dÂ â‰¥ |{−6,−5,…,56}|+1Â =Â 64 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.