MinT - Information on Result #1621307

Information on Result #1621307

Linear OOA(3²⁴¹, 1989925, F₃, 5, 22) (dual of [(1989925, 5), 9949384, 23]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴¹, 3979850, F₃, 3, 22) (dual of [(3979850, 3), 11939309, 23]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3²⁴¹, 3979850, F₃, 2, 22) (dual of [(3979850, 2), 7959459, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁴¹, 4194361, F₃, 2, 22) (dual of [(4194361, 2), 8388481, 23]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3³⁰, 60, F₃, 2, 11) (dual of [(60, 2), 90, 12]-NRT-code), using
      - extracting embedded OOA [i] based on digital (19, 30, 60)-net over F₃, using
        trace code for nets [i] based on digital (4, 15, 30)-net over F₉, using
        net from sequence [i] based on digital (4, 29)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 4 and N(F) ≥ 30, using
        a function field by SÃ©mirat [i]
    2. linear OOA(3²¹¹, 4194301, F₃, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3²¹¹, 8388602, F₃, 22) (dual of [8388602, 8388391, 23]-code), using
        discarding factors / shortening the dual code based on linear OA(3²¹¹, large, F₃, 22) (dual of [large, large−211, 23]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]

Mode: Linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.