MinT - Information on Result #2777753

Information on Result #2777753

Linear OOA(3²⁵⁰, 88, F₃, 4, 113) (dual of [(88, 4), 102, 114]-NRT-code), using strength reduction based on linear OOA(3²⁵⁰, 88, F₃, 4, 115) (dual of [(88, 4), 102, 116]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵³, 28, F₃, 4, 38) (dual of [(28, 4), 59, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,73P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁷⁸, 30, F₃, 4, 57) (dual of [(30, 4), 42, 58]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁷⁸, 31, F₃, 4, 57) (dual of [(31, 4), 46, 58]-NRT-code), using
    - algebraic-geometric NRT-code AG(4;F,66P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
      - an explicitly constructive algebraic function field [i]
3. linear OOA(3¹¹⁹, 30, F₃, 4, 115) (dual of [(30, 4), 1, 116]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹¹⁹, 30, F₃, 4, 119) (dual of [(30, 4), 1, 120]-NRT-code), using
    - dual of repetition NRT-code with length 30 [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.