MinT - Information on Result #2622224

Information on Result #2622224

Linear OOA(3¹²⁶, 44, F₃, 3, 96) (dual of [(44, 3), 6, 97]-NRT-code), using strength reduction based on linear OOA(3¹²⁶, 44, F₃, 3, 98) (dual of [(44, 3), 6, 99]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁰, 12, F₃, 3, 26) (dual of [(12, 3), 6, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;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(3⁹⁰, 32, F₃, 3, 71) (dual of [(32, 3), 6, 72]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁴², 16, F₃, 3, 35) (dual of [(16, 3), 6, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, 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.