MinT - Information on Result #2635105

Information on Result #2635105

Linear OOA(4²¹¹, 73, F₄, 3, 166) (dual of [(73, 3), 8, 167]-NRT-code), using strength reduction based on linear OOA(4²¹¹, 73, F₄, 3, 170) (dual of [(73, 3), 8, 171]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁹, 19, F₄, 3, 42) (dual of [(19, 3), 8, 43]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴⁹, 21, F₄, 3, 42) (dual of [(21, 3), 14, 43]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [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(4¹⁵⁴, 54, F₄, 3, 127) (dual of [(54, 3), 8, 128]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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.