MinT - Information on Result #2634749

Information on Result #2634749

Linear OOA(4²⁰⁶, 72, F₄, 3, 160) (dual of [(72, 3), 10, 161]-NRT-code), using strength reduction based on linear OOA(4²⁰⁶, 72, F₄, 3, 161) (dual of [(72, 3), 10, 162]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁴, 18, F₄, 3, 37) (dual of [(18, 3), 10, 38]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴⁴, 21, F₄, 3, 37) (dual of [(21, 3), 19, 38]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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(4¹⁵², 54, F₄, 3, 123) (dual of [(54, 3), 10, 124]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁷¹, 27, F₄, 3, 61) (dual of [(27, 3), 10, 62]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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.