MinT - Information on Result #2634991

Information on Result #2634991

Linear OOA(4²⁰⁹, 74, F₄, 3, 156) (dual of [(74, 3), 13, 157]-NRT-code), using strength reduction based on linear OOA(4²⁰⁹, 74, F₄, 3, 157) (dual of [(74, 3), 13, 158]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴¹, 18, F₄, 3, 34) (dual of [(18, 3), 13, 35]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴¹, 21, F₄, 3, 34) (dual of [(21, 3), 22, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵⁵, 56, F₄, 3, 122) (dual of [(56, 3), 13, 123]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,45P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
    - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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.