MinT - Information on Result #2803613

Information on Result #2803613

Linear OOA(3²⁰⁹, 167, F₃, 4, 66) (dual of [(167, 4), 459, 67]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁰⁸, 167, F₃, 4, 66) (dual of [(167, 4), 460, 67]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴², 19, F₃, 4, 33) (dual of [(19, 4), 34, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,42P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁶⁶, 148, F₃, 4, 66) (dual of [(148, 4), 426, 67]-NRT-code), using
  - extracting embedded OOA [i] based on digital (100, 166, 148)-net over F₃, using
    - trace code for nets [i] based on digital (17, 83, 74)-net over F₉, using
      - net from sequence [i] based on digital (17, 73)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
        a function field by GarcÃa and Quoos [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.