MinT - Information on Result #2856539

Information on Result #2856539

Linear OOA(3²²⁰, 45, F₃, 5, 188) (dual of [(45, 5), 5, 189]-NRT-code), using strength reduction based on linear OOA(3²²⁰, 45, F₃, 5, 193) (dual of [(45, 5), 5, 194]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁰, 7, F₃, 5, 29) (dual of [(7, 5), 5, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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(3¹⁸⁵, 38, F₃, 5, 163) (dual of [(38, 5), 5, 164]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁹⁰, 19, F₃, 5, 81) (dual of [(19, 5), 5, 82]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;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.