MinT - Information on Result #2634985

Information on Result #2634985

Linear OOA(4²⁰⁹, 72, F₄, 3, 165) (dual of [(72, 3), 7, 166]-NRT-code), using strength reduction based on linear OOA(4²⁰⁹, 72, F₄, 3, 167) (dual of [(72, 3), 7, 168]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(4⁶⁵, 24, F₄, 3, 55) (dual of [(24, 3), 7, 56]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁶⁵, 26, F₄, 3, 55) (dual of [(26, 3), 13, 56]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,22P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [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.