MinT - Information on Result #2437788

Information on Result #2437788

Linear OOA(3²⁴³, 123, F₃, 2, 187) (dual of [(123, 2), 3, 188]-NRT-code), using strength reduction based on linear OOA(3²⁴³, 123, F₃, 2, 192) (dual of [(123, 2), 3, 193]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵, 4, F₃, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,3) [i]
2. linear OOA(3²³⁵, 119, F₃, 2, 186) (dual of [(119, 2), 3, 187]-NRT-code), using
  - repeating each code word 17 times [i] based on linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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.