MinT - Information on Result #2625104

Information on Result #2625104

Linear OOA(3¹⁸⁵, 65, F₃, 3, 132) (dual of [(65, 3), 10, 133]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁵, 65, F₃, 3, 134) (dual of [(65, 3), 10, 135]-NRT-code), using

juxtaposition [i] based on
1. 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(3¹⁵⁵, 55, F₃, 3, 116) (dual of [(55, 3), 10, 117]-NRT-code), using
  - 3 step truncation [i] based on linear OOA(3¹⁵⁸, 56, F₃, 3, 119) (dual of [(56, 3), 10, 120]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁷⁴, 28, F₃, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;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.