MinT - Information on Result #2991522

Information on Result #2991522

Linear OOA(2²⁴³, 31, F₂, 8, 211) (dual of [(31, 8), 5, 212]-NRT-code), using strength reduction based on linear OOA(2²⁴³, 31, F₂, 8, 216) (dual of [(31, 8), 5, 217]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁵, 5, F₂, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,5P) [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(2²⁰³, 26, F₂, 8, 181) (dual of [(26, 8), 5, 182]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³⁵, 5, F₂, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code) (see above)
    2. linear OOA(2¹⁶³, 21, F₂, 8, 146) (dual of [(21, 8), 5, 147]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(2⁵¹, 7, F₂, 8, 48) (dual of [(7, 8), 5, 49]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(8;F,7P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, 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.