MinT - Information on Result #2770858

Information on Result #2770858

Linear OOA(3¹⁴³, 37, F₃, 4, 120) (dual of [(37, 4), 5, 121]-NRT-code), using strength reduction based on linear OOA(3¹⁴³, 37, F₃, 4, 122) (dual of [(37, 4), 5, 123]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(3⁹⁵, 25, F₃, 4, 82) (dual of [(25, 4), 5, 83]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code) (see above)
    2. linear OOA(3⁴⁷, 13, F₃, 4, 42) (dual of [(13, 4), 5, 43]-NRT-code), using
      - extracting embedded OOA [i] based on digital (5, 47, 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.