MinT - Information on Result #2621691

Information on Result #2621691

Linear OOA(3¹¹², 42, F₃, 3, 76) (dual of [(42, 3), 14, 77]-NRT-code), using strength reduction based on linear OOA(3¹¹², 42, F₃, 3, 78) (dual of [(42, 3), 14, 79]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁸, 14, F₃, 3, 22) (dual of [(14, 3), 14, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁷⁰, 28, F₃, 3, 55) (dual of [(28, 3), 14, 56]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,28P) [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.