MinT - Information on Result #2621503

Information on Result #2621503

Linear OOA(3¹⁰⁶, 37, F₃, 3, 83) (dual of [(37, 3), 5, 84]-NRT-code), using strength reduction based on linear OOA(3¹⁰⁶, 37, F₃, 3, 85) (dual of [(37, 3), 5, 86]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁷⁰, 25, F₃, 3, 57) (dual of [(25, 3), 5, 58]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code) (see above)
    2. linear OOA(3³⁴, 13, F₃, 3, 29) (dual of [(13, 3), 5, 30]-NRT-code), using
      - extracting embedded OOA [i] based on digital (5, 34, 13)-net over F₃, using
        net from sequence [i] based on digital (5, 12)-sequence over F₃, using
        Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [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.