MinT - Information on Result #2994633

Information on Result #2994633

Linear OOA(2¹⁸⁸, 24, F₂, 8, 170) (dual of [(24, 8), 4, 171]-NRT-code), using 16 step truncation based on linear OOA(2²⁰⁴, 26, F₂, 8, 186) (dual of [(26, 8), 4, 187]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁶⁴, 21, F₂, 8, 150) (dual of [(21, 8), 4, 151]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code) (see above)
    2. linear OOA(2¹²⁴, 16, F₂, 8, 114) (dual of [(16, 8), 4, 115]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code) (see above)
        linear OOA(2⁸⁴, 11, F₂, 8, 78) (dual of [(11, 8), 4, 79]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code) (see above)
        linear OOA(2⁴⁴, 6, F₂, 8, 42) (dual of [(6, 8), 4, 43]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(8;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.