MinT - Information on Result #2777699

Information on Result #2777699

Linear OOA(3²⁵⁰, 65, F₃, 4, 198) (dual of [(65, 4), 10, 199]-NRT-code), using strength reduction based on linear OOA(3²⁵⁰, 65, F₃, 4, 199) (dual of [(65, 4), 10, 200]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁰, 10, F₃, 4, 27) (dual of [(10, 4), 10, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(3²¹⁰, 55, F₃, 4, 171) (dual of [(55, 4), 10, 172]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(3²¹⁴, 56, F₃, 4, 175) (dual of [(56, 4), 10, 176]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3¹⁰², 28, F₃, 4, 87) (dual of [(28, 4), 10, 88]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,24P) [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.