MinT - Information on Result #2776439

Information on Result #2776439

Linear OOA(3²³⁴, 63, F₃, 4, 175) (dual of [(63, 4), 18, 176]-NRT-code), using strength reduction based on linear OOA(3²³⁴, 63, F₃, 4, 176) (dual of [(63, 4), 18, 177]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁹⁰, 27, F₃, 4, 75) (dual of [(27, 4), 18, 76]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,32P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹²⁶, 36, F₃, 4, 100) (dual of [(36, 4), 18, 101]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,43P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, 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.