MinT - Information on Result #2625908

Information on Result #2625908

Linear OOA(3¹⁹⁸, 70, F₃, 3, 139) (dual of [(70, 3), 12, 140]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁸, 70, F₃, 3, 140) (dual of [(70, 3), 12, 141]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁰, 14, F₃, 3, 24) (dual of [(14, 3), 12, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁵⁶, 56, F₃, 3, 115) (dual of [(56, 3), 12, 116]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷², 28, F₃, 3, 57) (dual of [(28, 3), 12, 58]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,26P) [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.