MinT - Information on Result #2621080

Information on Result #2621080

Linear OOA(3⁸⁸, 31, F₃, 3, 68) (dual of [(31, 3), 5, 69]-NRT-code), using strength reduction based on linear OOA(3⁸⁸, 31, F₃, 3, 71) (dual of [(31, 3), 5, 72]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁶, 7, F₃, 3, 15) (dual of [(7, 3), 5, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁶⁷, 24, F₃, 3, 55) (dual of [(24, 3), 5, 56]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.