MinT - Information on Result #2622374

Information on Result #2622374

Linear OOA(3¹³⁰, 45, F₃, 3, 101) (dual of [(45, 3), 5, 102]-NRT-code), using strength reduction based on linear OOA(3¹³⁰, 45, F₃, 3, 103) (dual of [(45, 3), 5, 104]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁶, 7, F₃, 3, 15) (dual of [(7, 3), 5, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁹, 38, F₃, 3, 87) (dual of [(38, 3), 5, 88]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁵², 19, F₃, 3, 43) (dual of [(19, 3), 5, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.