MinT - Information on Result #2806112

Information on Result #2806112

Linear OOA(3²²¹, 72, F₃, 4, 118) (dual of [(72, 4), 67, 119]-NRT-code), using 3¹ times duplication based on linear OOA(3²²⁰, 72, F₃, 4, 118) (dual of [(72, 4), 68, 119]-NRT-code), using

strength reduction [i] based on linear OOA(3²²⁰, 72, F₃, 4, 119) (dual of [(72, 4), 68, 120]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵², 24, F₃, 4, 39) (dual of [(24, 4), 44, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,56P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
  2. linear OOA(3⁷², 24, F₃, 4, 59) (dual of [(24, 4), 24, 60]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,36P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
  3. linear OOA(3⁹⁶, 24, F₃, 4, 96) (dual of [(24, 4), 0, 97]-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.