MinT - Information on Result #2624225

Information on Result #2624225

Linear OOA(3¹⁶⁹, 60, F₃, 3, 118) (dual of [(60, 3), 11, 119]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁹, 60, F₃, 3, 119) (dual of [(60, 3), 11, 120]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁰, 20, F₃, 3, 39) (dual of [(20, 3), 10, 40]-NRT-code), using
  - extracting embedded OOA [i] based on digital (11, 50, 20)-net over F₃, using
    - net from sequence [i] based on digital (11, 19)-sequence over F₃, using
      - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 9, N(F)Â =Â 19, and 1 place with degree 3 [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(3⁵⁹, 20, F₃, 3, 59) (dual of [(20, 3), 1, 60]-NRT-code), using
  - dual of repetition NRT-code with length 20 [i]
3. linear OOA(3⁶⁰, 20, F₃, 3, 60) (dual of [(20, 3), 0, 61]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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.