MinT - Information on Result #2625281

Information on Result #2625281

Linear OOA(3¹⁸⁸, 65, F₃, 3, 140) (dual of [(65, 3), 7, 141]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁸, 65, F₃, 3, 143) (dual of [(65, 3), 7, 144]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁰, 9, F₃, 3, 17) (dual of [(9, 3), 7, 18]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²⁰, 10, F₃, 3, 17) (dual of [(10, 3), 10, 18]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁶¹, 56, F₃, 3, 125) (dual of [(56, 3), 7, 126]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷⁷, 28, F₃, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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.