MinT - Information on Result #2994797

Information on Result #2994797

Linear OOA(2¹⁹³, 24, F₂, 8, 170), using 1 step truncation based on linear OOA(2¹⁹⁴, 25, F₂, 8, 171) (dual of [(25, 8), 6, 172]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁰, 7, F₂, 8, 47) (dual of [(7, 8), 6, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹³⁸, 18, F₂, 8, 123) (dual of [(18, 8), 6, 124]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁶⁶, 9, F₂, 8, 61) (dual of [(9, 8), 6, 62]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.