MinT - Information on Result #2777061

Information on Result #2777061

Linear OOA(3²⁴², 63, F₃, 4, 191) (dual of [(63, 4), 10, 192]-NRT-code), using strength reduction based on linear OOA(3²⁴², 63, F₃, 4, 193) (dual of [(63, 4), 10, 194]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁶, 19, F₃, 4, 57) (dual of [(19, 4), 10, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁶⁶, 44, F₃, 4, 135) (dual of [(44, 4), 10, 136]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁵⁴, 16, F₃, 4, 47) (dual of [(16, 4), 10, 48]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,16P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3¹⁰², 28, F₃, 4, 87) (dual of [(28, 4), 10, 88]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,24P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.