MinT - Information on Result #2626257

Information on Result #2626257

Linear OOA(3²⁰⁴, 71, F₃, 3, 150) (dual of [(71, 3), 9, 151]-NRT-code), using strength reduction based on linear OOA(3²⁰⁴, 71, F₃, 3, 151) (dual of [(71, 3), 9, 152]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁶, 15, F₃, 3, 29) (dual of [(15, 3), 9, 30]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³⁶, 16, F₃, 3, 29) (dual of [(16, 3), 12, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁵⁹, 56, F₃, 3, 121) (dual of [(56, 3), 9, 122]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷⁵, 28, F₃, 3, 60) (dual of [(28, 3), 9, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [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.