MinT - Information on Result #2663188

Information on Result #2663188

Linear OOA(4²⁰², 69, F₄, 3, 164) (dual of [(69, 3), 5, 165]-NRT-code), using 4 step truncation based on linear OOA(4²⁰⁶, 71, F₄, 3, 168) (dual of [(71, 3), 7, 169]-NRT-code), using

strength reduction [i] based on linear OOA(4²⁰⁶, 71, F₄, 3, 169) (dual of [(71, 3), 7, 170]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁴⁴, 17, F₄, 3, 39) (dual of [(17, 3), 7, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4¹⁵⁵, 54, F₄, 3, 129) (dual of [(54, 3), 7, 130]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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.