MinT - Information on Result #2806190

Information on Result #2806190

Linear OOA(3²³¹, 72, F₃, 4, 130) (dual of [(72, 4), 57, 131]-NRT-code), using 3¹ times duplication based on linear OOA(3²³⁰, 72, F₃, 4, 130) (dual of [(72, 4), 58, 131]-NRT-code), using

strength reduction [i] based on linear OOA(3²³⁰, 72, F₃, 4, 131) (dual of [(72, 4), 58, 132]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵⁶, 24, F₃, 4, 43) (dual of [(24, 4), 40, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,52P) [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(3⁷⁸, 24, F₃, 4, 65) (dual of [(24, 4), 18, 66]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,30P) [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.