MinT - Information on Result #1478831

Information on Result #1478831

Linear OOA(4⁴⁸, 6208, F₄, 3, 9) (dual of [(6208, 3), 18576, 10]-NRT-code), using OOA 2-folding based on linear OOA(4⁴⁸, 12416, F₄, 2, 9) (dual of [(12416, 2), 24784, 10]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4⁴⁸, 12417, F₄, 2, 9) (dual of [(12417, 2), 24786, 10]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(4⁴⁸, 12417, F₄, 9) (dual of [12417, 12369, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(4⁴⁸, 16396, F₄, 9) (dual of [16396, 16348, 10]-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OA(4⁵, 11, F₄, 4) (dual of [11, 6, 5]-code), using
        quaternary constacyclic codes with minimum distance 5 [i]
      2. linear OA(4⁴³, 16385, F₄, 9) (dual of [16385, 16342, 10]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16385Â | 4¹⁴âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]

Mode: 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.