MinT - Information on Result #2916228

Information on Result #2916228

Linear OOA(2²⁵², 43, F₂, 6, 195) (dual of [(43, 6), 6, 196]-NRT-code), using strength reduction based on linear OOA(2²⁵², 43, F₂, 6, 207) (dual of [(43, 6), 6, 208]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁰, 6, F₂, 6, 28) (dual of [(6, 6), 6, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²¹⁶, 37, F₂, 6, 178) (dual of [(37, 6), 6, 179]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³⁰, 6, F₂, 6, 28) (dual of [(6, 6), 6, 29]-NRT-code) (see above)
    2. linear OOA(2¹⁸⁰, 31, F₂, 6, 149) (dual of [(31, 6), 6, 150]-NRT-code), using
      - strength reduction [i] based on linear OOA(2¹⁸⁰, 31, F₂, 6, 150) (dual of [(31, 6), 6, 151]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2³⁶, 7, F₂, 6, 33) (dual of [(7, 6), 6, 34]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(6;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]
        linear OOA(2¹³⁸, 24, F₂, 6, 116) (dual of [(24, 6), 6, 117]-NRT-code), using
        repeating each code word 3 times [i] based on linear OOA(2⁴², 8, F₂, 6, 38) (dual of [(8, 6), 6, 39]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(6;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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.