MinT - Information on Result #2776139

Information on Result #2776139

Linear OOA(3²³⁰, 59, F₃, 4, 190) (dual of [(59, 4), 6, 191]-NRT-code), using strength reduction based on linear OOA(3²³⁰, 59, F₃, 4, 191) (dual of [(59, 4), 6, 192]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴², 12, F₃, 4, 38) (dual of [(12, 4), 6, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸², 47, F₃, 4, 152) (dual of [(47, 4), 6, 153]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁴², 12, F₃, 4, 38) (dual of [(12, 4), 6, 39]-NRT-code) (see above)
    2. linear OOA(3¹³⁴, 35, F₃, 4, 113) (dual of [(35, 4), 6, 114]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(3²², 7, F₃, 4, 21) (dual of [(7, 4), 6, 22]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,6P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]
        linear OOA(3¹⁰⁶, 28, F₃, 4, 91) (dual of [(28, 4), 6, 92]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,20P) [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.